540654624 has 72 divisors (see below), whose sum is σ = 1560489840. Its totient is φ = 177522048.

The previous prime is 540654607. The next prime is 540654641. The reversal of 540654624 is 426456045.

540654624 is a `hidden beast` number, since 540 + 6 + 54 + 62 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (540654607) and next prime (540654641).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5287 + ... + 33305.

It is an arithmetic number, because the mean of its divisors is an integer number (21673470).

Almost surely, 2^540654624 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 540654624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780244920).

540654624 is an abundant number, since it is smaller than the sum of its proper divisors (1019835216).

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

540654624 is a wasteful number, since it uses less digits than its factorization.

540654624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28102 (or 28091 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 540654624 is about 23251.9810768889. The cubic root of 540654624 is about 814.6542118981.

The spelling of 540654624 in words is "five hundred forty million, six hundred fifty-four thousand, six hundred twenty-four".