56735040 has 112 divisors (see below), whose sum is σ = 182075328. Its totient is φ = 14966784.

The previous prime is 56735027. The next prime is 56735047. The reversal of 56735040 is 4053765.

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 = 56734989 and 56735007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56735047) 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, 108219 + ... + 108741.

Almost surely, 2^56735040 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 56735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91037664).

56735040 is an abundant number, since it is smaller than the sum of its proper divisors (125340288).

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

56735040 is a wasteful number, since it uses less digits than its factorization.

56735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 56735040 is about 7532.2665911397. The cubic root of 56735040 is about 384.2528716369.

The spelling of 56735040 in words is "fifty-six million, seven hundred thirty-five thousand, forty".