540132960 has 96 divisors (see below), whose sum is σ = 1711094112. Its totient is φ = 143216640.

The previous prime is 540132953. The next prime is 540133001. The reversal of 540132960 is 69231045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×540132960² = 583487228956723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 83772 + ... + 89988.

It is an arithmetic number, because the mean of its divisors is an integer number (17823897).

Almost surely, 2^540132960 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 540132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855547056).

540132960 is an abundant number, since it is smaller than the sum of its proper divisors (1170961152).

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

540132960 is a wasteful number, since it uses less digits than its factorization.

540132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 540132960 is about 23240.7607448638. The cubic root of 540132960 is about 814.3921144876.

The spelling of 540132960 in words is "five hundred forty million, one hundred thirty-two thousand, nine hundred sixty".