540760320 has 144 divisors (see below), whose sum is σ = 1919070720. Its totient is φ = 144193536.

The previous prime is 540760309. The next prime is 540760391. The reversal of 540760320 is 23067045.

It is a happy number.

540760320 is a `hidden beast` number, since 54 + 0 + 7 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 26737 + ... + 42383.

It is an arithmetic number, because the mean of its divisors is an integer number (13326880).

Almost surely, 2^540760320 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 540760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959535360).

540760320 is an abundant number, since it is smaller than the sum of its proper divisors (1378310400).

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

540760320 is a wasteful number, since it uses less digits than its factorization.

540760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15677 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 540760320 is about 23254.2538044118. The cubic root of 540760320 is about 814.7072957446.

The spelling of 540760320 in words is "five hundred forty million, seven hundred sixty thousand, three hundred twenty".