60056640 has 280 divisors, whose sum is σ = 244888512. Its totient is φ = 13685760.

The previous prime is 60056629. The next prime is 60056653. The reversal of 60056640 is 4665006.

60056640 is a `hidden beast` number, since 60 + 0 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181275 + ... + 181605.

Almost surely, 2^60056640 is an apocalyptic number.

60056640 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 60056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122444256).

60056640 is an abundant number, since it is smaller than the sum of its proper divisors (184831872).

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

60056640 is a wasteful number, since it uses less digits than its factorization.

60056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 60056640 is about 7749.6219262620. The cubic root of 60056640 is about 391.6099132092.

The spelling of 60056640 in words is "sixty million, fifty-six thousand, six hundred forty".