540528864 has 48 divisors (see below), whose sum is σ = 1427634432. Its totient is φ = 179065728.

The previous prime is 540528841. The next prime is 540528881. The reversal of 540528864 is 468825045.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1624 + ... + 32919.

It is an arithmetic number, because the mean of its divisors is an integer number (29742384).

Almost surely, 2^540528864 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 540528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713817216).

540528864 is an abundant number, since it is smaller than the sum of its proper divisors (887105568).

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

540528864 is a wasteful number, since it uses less digits than its factorization.

540528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34719 (or 34711 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 540528864 is about 23249.2766339084. The cubic root of 540528864 is about 814.5910422677.

The spelling of 540528864 in words is "five hundred forty million, five hundred twenty-eight thousand, eight hundred sixty-four".