56039040 has 320 divisors, whose sum is σ = 213269760. Its totient is φ = 13989888.

The previous prime is 56039033. The next prime is 56039059. The reversal of 56039040 is 4093065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 56038995 and 56039013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192297 + ... + 1192343.

It is an arithmetic number, because the mean of its divisors is an integer number (666468).

Almost surely, 2^56039040 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 56039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106634880).

56039040 is an abundant number, since it is smaller than the sum of its proper divisors (157230720).

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

56039040 is a wasteful number, since it uses less digits than its factorization.

56039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56039040 is about 7485.9227888083. The cubic root of 56039040 is about 382.6751216565.

The spelling of 56039040 in words is "fifty-six million, thirty-nine thousand, forty".