56751840 has 240 divisors, whose sum is σ = 208565280. Its totient is φ = 14515200.

The previous prime is 56751781. The next prime is 56751857. The reversal of 56751840 is 4815765.

56751840 is a `hidden beast` number, since 567 + 51 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56751795 and 56751804.

It is a congruent number.

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, 375765 + ... + 375915.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 2^56751840 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 56751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

56751840 is an abundant number, since it is smaller than the sum of its proper divisors (151813440).

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

56751840 is a wasteful number, since it uses less digits than its factorization.

56751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 56751840 is about 7533.3817107591. The cubic root of 56751840 is about 384.2907953560.

The spelling of 56751840 in words is "fifty-six million, seven hundred fifty-one thousand, eight hundred forty".