540313632 has 96 divisors (see below), whose sum is σ = 1626831360. Its totient is φ = 174286080.

The previous prime is 540313603. The next prime is 540313633. The reversal of 540313632 is 236313045.

It is a happy number.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 540313596 and 540313605.

It is not an unprimeable number, because it can be changed into a prime (540313633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16698 + ... + 36870.

It is an arithmetic number, because the mean of its divisors is an integer number (16946160).

Almost surely, 2^540313632 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 540313632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813415680).

540313632 is an abundant number, since it is smaller than the sum of its proper divisors (1086517728).

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

540313632 is a wasteful number, since it uses less digits than its factorization.

540313632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223 (or 20209 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 540313632 is about 23244.6473838602. The cubic root of 540313632 is about 814.4829078418.

Adding to 540313632 its reverse (236313045), we get a palindrome (776626677).

The spelling of 540313632 in words is "five hundred forty million, three hundred thirteen thousand, six hundred thirty-two".