540726624 has 96 divisors (see below), whose sum is σ = 1660176000. Its totient is φ = 170750592.

The previous prime is 540726611. The next prime is 540726671. The reversal of 540726624 is 426627045.

540726624 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 26 + 624 = 666.

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

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

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, 54 + ... + 32885.

It is an arithmetic number, because the mean of its divisors is an integer number (17293500).

Almost surely, 2^540726624 is an apocalyptic number.

540726624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540726624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830088000).

540726624 is an abundant number, since it is smaller than the sum of its proper divisors (1119449376).

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

540726624 is a wasteful number, since it uses less digits than its factorization.

540726624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32977 (or 32963 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 540726624 is about 23253.5292805200. The cubic root of 540726624 is about 814.6903733076.

The spelling of 540726624 in words is "five hundred forty million, seven hundred twenty-six thousand, six hundred twenty-four".