540636264 has 96 divisors (see below), whose sum is σ = 1680719040. Its totient is φ = 153792000.

The previous prime is 540636259. The next prime is 540636269. The reversal of 540636264 is 462636045.

It is an interprime number because it is at equal distance from previous prime (540636259) and next prime (540636269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (540636269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119239 + ... + 123689.

It is an arithmetic number, because the mean of its divisors is an integer number (17507490).

Almost surely, 2^540636264 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 540636264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840359520).

540636264 is an abundant number, since it is smaller than the sum of its proper divisors (1140082776).

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

540636264 is a wasteful number, since it uses less digits than its factorization.

540636264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 540636264 is about 23251.5862684678. The cubic root of 540636264 is about 814.6449902250.

It can be divided in two parts, 540 and 636264, that added together give a square (636804 = 798²).

The spelling of 540636264 in words is "five hundred forty million, six hundred thirty-six thousand, two hundred sixty-four".