56437640 has 64 divisors (see below), whose sum is σ = 145791360. Its totient is φ = 19261440.

The previous prime is 56437631. The next prime is 56437643. The reversal of 56437640 is 4673465.

56437640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56437640³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56437640.

It is not an unprimeable number, because it can be changed into a prime (56437643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98555 + ... + 99125.

It is an arithmetic number, because the mean of its divisors is an integer number (2277990).

Almost surely, 2^56437640 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 56437640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72895680).

56437640 is an abundant number, since it is smaller than the sum of its proper divisors (89353720).

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

56437640 is a wasteful number, since it uses less digits than its factorization.

56437640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 56437640 is about 7512.4989184691. The cubic root of 56437640 is about 383.5802886746.

The spelling of 56437640 in words is "fifty-six million, four hundred thirty-seven thousand, six hundred forty".