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661089600 = 2634525101
BaseRepresentation
bin100111011001110…
…110110101000000
31201001221211110000
4213121312311000
52323214331400
6145333240000
722245111633
oct4731666500
91631854400
10661089600
1130a193446
12165493000
13a6c677a2
1463b29c1a
153d088600
hex27676d40

661089600 has 210 divisors, whose sum is σ = 2430475454. Its totient is φ = 176256000.

The previous prime is 661089599. The next prime is 661089641. The reversal of 661089600 is 6980166.

661089600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11451456 + 649638144 = 3384^2 + 25488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127050 + ... + 132150.

Almost surely, 2661089600 is an apocalyptic number.

661089600 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 661089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215237727).

661089600 is an abundant number, since it is smaller than the sum of its proper divisors (1769385854).

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

661089600 is a wasteful number, since it uses less digits than its factorization.

661089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 661089600 is about 25711.6627233635. The cubic root of 661089600 is about 871.1376318533.

The spelling of 661089600 in words is "six hundred sixty-one million, eighty-nine thousand, six hundred".