540364640 has 96 divisors (see below), whose sum is σ = 1314278784. Its totient is φ = 209848320.

The previous prime is 540364631. The next prime is 540364667. The reversal of 540364640 is 46463045.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 540364597 and 540364606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360922 + ... + 1361318.

It is an arithmetic number, because the mean of its divisors is an integer number (13690404).

Almost surely, 2^540364640 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 540364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657139392).

540364640 is an abundant number, since it is smaller than the sum of its proper divisors (773914144).

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

540364640 is a wasteful number, since it uses less digits than its factorization.

540364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 540364640 is about 23245.7445568001. The cubic root of 540364640 is about 814.5085373000.

The spelling of 540364640 in words is "five hundred forty million, three hundred sixty-four thousand, six hundred forty".