56087040 has 160 divisors (see below), whose sum is σ = 183648960. Its totient is φ = 14598144.

The previous prime is 56087039. The next prime is 56087047. The reversal of 56087040 is 4078065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56086989 and 56087007.

It is not an unprimeable number, because it can be changed into a prime (56087047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 514506 + ... + 514614.

It is an arithmetic number, because the mean of its divisors is an integer number (1147806).

Almost surely, 2^56087040 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 56087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91824480).

56087040 is an abundant number, since it is smaller than the sum of its proper divisors (127561920).

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

56087040 is a wasteful number, since it uses less digits than its factorization.

56087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 56087040 is about 7489.1281201486. The cubic root of 56087040 is about 382.7843500556.

The spelling of 56087040 in words is "fifty-six million, eighty-seven thousand, forty".