56683935 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 21772800.

The previous prime is 56683931. The next prime is 56683961. The reversal of 56683935 is 53938665.

56683935 is a `hidden beast` number, since 566 + 83 + 9 + 3 + 5 = 666.

It is not a de Polignac number, because 56683935 - 2² = 56683931 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (56683931) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1382515 + ... + 1382555.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^56683935 is an apocalyptic number.

56683935 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56683935 is an abundant number, since it is smaller than the sum of its proper divisors (81210465).

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

56683935 is a wasteful number, since it uses less digits than its factorization.

56683935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 56683935 is about 7528.8734217013. The cubic root of 56683935 is about 384.1374629926.

The spelling of 56683935 in words is "fifty-six million, six hundred eighty-three thousand, nine hundred thirty-five".