540328320 has 320 divisors, whose sum is σ = 2206749600. Its totient is φ = 123420672.

The previous prime is 540328303. The next prime is 540328337. The reversal of 540328320 is 23823045.

It is an interprime number because it is at equal distance from previous prime (540328303) and next prime (540328337).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362136 + ... + 363624.

Almost surely, 2^540328320 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 540328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103374800).

540328320 is an abundant number, since it is smaller than the sum of its proper divisors (1666421280).

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

540328320 is a wasteful number, since it uses less digits than its factorization.

540328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540328320 is about 23244.9633254174. The cubic root of 540328320 is about 814.4902881334.

The spelling of 540328320 in words is "five hundred forty million, three hundred twenty-eight thousand, three hundred twenty".