540536832 has 312 divisors, whose sum is σ = 1799136768. Its totient is φ = 154828800.

The previous prime is 540536813. The next prime is 540536839. The reversal of 540536832 is 238635045.

It is a happy number.

540536832 is a `hidden beast` number, since 5 + 40 + 536 + 83 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540536839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12570603 + ... + 12570645.

It is an arithmetic number, because the mean of its divisors is an integer number (5766464).

Almost surely, 2^540536832 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 540536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899568384).

540536832 is an abundant number, since it is smaller than the sum of its proper divisors (1258599936).

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

540536832 is a wasteful number, since it uses less digits than its factorization.

540536832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 540536832 is about 23249.4479934471. The cubic root of 540536832 is about 814.5950449091.

The spelling of 540536832 in words is "five hundred forty million, five hundred thirty-six thousand, eight hundred thirty-two".