68592960 has 224 divisors, whose sum is σ = 256763520. Its totient is φ = 17178624.

The previous prime is 68592949. The next prime is 68592967. The reversal of 68592960 is 6929586.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68592967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146647 + ... + 147113.

Almost surely, 2^68592960 is an apocalyptic number.

68592960 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 68592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

68592960 is an abundant number, since it is smaller than the sum of its proper divisors (188170560).

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

68592960 is a wasteful number, since it uses less digits than its factorization.

68592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 68592960 is about 8282.0866935815. The cubic root of 68592960 is about 409.3484794116.

The spelling of 68592960 in words is "sixty-eight million, five hundred ninety-two thousand, nine hundred sixty".