540087152 has 80 divisors (see below), whose sum is σ = 1178496000. Its totient is φ = 237669120.

The previous prime is 540087151. The next prime is 540087169. The reversal of 540087152 is 251780045.

It is a super-2 number, since 2×540087152² = 583388263510942208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540087151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901349 + ... + 901947.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 2^540087152 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 540087152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248000).

540087152 is an abundant number, since it is smaller than the sum of its proper divisors (638408848).

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

540087152 is a wasteful number, since it uses less digits than its factorization.

540087152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 540087152 is about 23239.7752140592. The cubic root of 540087152 is about 814.3690913115.

The spelling of 540087152 in words is "five hundred forty million, eighty-seven thousand, one hundred fifty-two".