68290560 has 384 divisors, whose sum is σ = 275184000. Its totient is φ = 15925248.

The previous prime is 68290559. The next prime is 68290583. The reversal of 68290560 is 6509286.

68290560 is a `hidden beast` number, since 6 + 8 + 2 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×68290560² = 9327201170227200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3594231 + ... + 3594249.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 2^68290560 is an apocalyptic number.

68290560 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 68290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

68290560 is an abundant number, since it is smaller than the sum of its proper divisors (206893440).

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

68290560 is a wasteful number, since it uses less digits than its factorization.

68290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68290560 is about 8263.8102591964. The cubic root of 68290560 is about 408.7460398573.

The spelling of 68290560 in words is "sixty-eight million, two hundred ninety thousand, five hundred sixty".