56075040 has 144 divisors (see below), whose sum is σ = 218731968. Its totient is φ = 12814848.

The previous prime is 56075011. The next prime is 56075051. The reversal of 56075040 is 4057065.

56075040 is a `hidden beast` number, since 5 + 607 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×56075040² = 6288820222003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56074995 and 56075013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7299 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (1518972).

Almost surely, 2^56075040 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 56075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109365984).

56075040 is an abundant number, since it is smaller than the sum of its proper divisors (162656928).

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

56075040 is a wasteful number, since it uses less digits than its factorization.

56075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 56075040 is about 7488.3269159406. The cubic root of 56075040 is about 382.7570488000.

The spelling of 56075040 in words is "fifty-six million, seventy-five thousand, forty".