540064512 has 324 divisors, whose sum is σ = 1799190120. Its totient is φ = 155271168.

The previous prime is 540064489. The next prime is 540064513. The reversal of 540064512 is 215460045.

540064512 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 645 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540064513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7398108 + ... + 7398180.

Almost surely, 2^540064512 is an apocalyptic number.

540064512 is a gapful number since it is divisible by the number (52) 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 540064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899595060).

540064512 is an abundant number, since it is smaller than the sum of its proper divisors (1259125608).

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

540064512 is a wasteful number, since it uses less digits than its factorization.

540064512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 540064512 is about 23239.2881130210. The cubic root of 540064512 is about 814.3577119297.

The spelling of 540064512 in words is "five hundred forty million, sixty-four thousand, five hundred twelve".