540846720 has 160 divisors (see below), whose sum is σ = 1931646420. Its totient is φ = 144211968.

The previous prime is 540846673. The next prime is 540846737. The reversal of 540846720 is 27648045.

540846720 is a `hidden beast` number, since 540 + 8 + 46 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 540841536 + 5184 = 23256^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46624 + ... + 57056.

Almost surely, 2^540846720 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 540846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965823210).

540846720 is an abundant number, since it is smaller than the sum of its proper divisors (1390799700).

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

540846720 is a wasteful number, since it uses less digits than its factorization.

540846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 540846720 is about 23256.1114548413. Note that the first 3 decimals coincide. The cubic root of 540846720 is about 814.7506833966.

The spelling of 540846720 in words is "five hundred forty million, eight hundred forty-six thousand, seven hundred twenty".