540036864 has 108 divisors (see below), whose sum is σ = 1607499712. Its totient is φ = 174182400.

The previous prime is 540036821. The next prime is 540036881. The reversal of 540036864 is 468630045.

540036864 is a `hidden beast` number, since 540 + 0 + 36 + 86 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67644 + ... + 75204.

Almost surely, 2^540036864 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 540036864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803749856).

540036864 is an abundant number, since it is smaller than the sum of its proper divisors (1067462848).

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

540036864 is a wasteful number, since it uses less digits than its factorization.

540036864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 540036864 is about 23238.6932506972. The cubic root of 540036864 is about 814.3438149811.

The spelling of 540036864 in words is "five hundred forty million, thirty-six thousand, eight hundred sixty-four".