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608968080 = 243257241421
BaseRepresentation
bin100100010011000…
…001110110010000
31120102212210011100
4210103001312100
52221343434310
6140232144400
721043100100
oct4423016620
91512783140
10608968080
11292823806
1214bb38100
1399218856
145ac3d200
15386deec0
hex244c1d90

608968080 has 360 divisors, whose sum is σ = 2442828024. Its totient is φ = 135475200.

The previous prime is 608968007. The next prime is 608968091. The reversal of 608968080 is 80869806.

It can be written as a sum of positive squares in 4 ways, for example, as 59721984 + 549246096 = 7728^2 + 23436^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1446270 + ... + 1446690.

Almost surely, 2608968080 is an apocalyptic number.

608968080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221414012).

608968080 is an abundant number, since it is smaller than the sum of its proper divisors (1833859944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

608968080 is a wasteful number, since it uses less digits than its factorization.

608968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 608968080 is about 24677.2786181945. The cubic root of 608968080 is about 847.6141073811.

The spelling of 608968080 in words is "six hundred eight million, nine hundred sixty-eight thousand, eighty".