56535040 has 48 divisors (see below), whose sum is σ = 135675540. Its totient is φ = 22609920.

The previous prime is 56535029. The next prime is 56535043. The reversal of 56535040 is 4053565.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 1893376 = 7392^2 + 1376^2 .

It is not an unprimeable number, because it can be changed into a prime (56535043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7480 + ... + 13000.

Almost surely, 2^56535040 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 56535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67837770).

56535040 is an abundant number, since it is smaller than the sum of its proper divisors (79140500).

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

56535040 is an equidigital number, since it uses as much as digits as its factorization.

56535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 56535040 is about 7518.9786540460. The cubic root of 56535040 is about 383.8008226323.

The spelling of 56535040 in words is "fifty-six million, five hundred thirty-five thousand, forty".