56134080 has 224 divisors, whose sum is σ = 202996800. Its totient is φ = 14598144.

The previous prime is 56134079. The next prime is 56134081. The reversal of 56134080 is 8043165.

56134080 is a `hidden beast` number, since 5 + 613 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56134079) and next prime (56134081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56134081) 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, 630676 + ... + 630764.

Almost surely, 2^56134080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101498400).

56134080 is an abundant number, since it is smaller than the sum of its proper divisors (146862720).

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

56134080 is a wasteful number, since it uses less digits than its factorization.

56134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56134080 is about 7492.2680144266. The cubic root of 56134080 is about 382.8913334411.

56134080 divided by its product of nonzero digits (2880) gives a palindrome (19491).

The spelling of 56134080 in words is "fifty-six million, one hundred thirty-four thousand, eighty".