56535640 has 64 divisors (see below), whose sum is σ = 153043200. Its totient is φ = 18361728.

The previous prime is 56535607. The next prime is 56535643. The reversal of 56535640 is 4653565.

It is a junction number, because it is equal to n+sod(n) for n = 56535596 and 56535605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56535643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7 + ... + 10633.

It is an arithmetic number, because the mean of its divisors is an integer number (2391300).

Almost surely, 2^56535640 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 56535640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76521600).

56535640 is an abundant number, since it is smaller than the sum of its proper divisors (96507560).

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

56535640 is a wasteful number, since it uses less digits than its factorization.

56535640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 56535640 is about 7519.0185529762. The cubic root of 56535640 is about 383.8021803724.

It can be divided in two parts, 56535 and 640, that added together give a palindrome (57175).

The spelling of 56535640 in words is "fifty-six million, five hundred thirty-five thousand, six hundred forty".