68898960 has 240 divisors, whose sum is σ = 264451824. Its totient is φ = 15925248.

The previous prime is 68898937. The next prime is 68898971. The reversal of 68898960 is 6989886.

It can be written as a sum of positive squares in 8 ways, for example, as 7683984 + 61214976 = 2772^2 + 7824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 68898897 and 68898906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158904 + ... + 159336.

Almost surely, 2^68898960 is an apocalyptic number.

68898960 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 68898960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

68898960 is an abundant number, since it is smaller than the sum of its proper divisors (195552864).

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

68898960 is a wasteful number, since it uses less digits than its factorization.

68898960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 68898960 is about 8300.5397414867. The cubic root of 68898960 is about 409.9562911961.

The spelling of 68898960 in words is "sixty-eight million, eight hundred ninety-eight thousand, nine hundred sixty".