540664600 has 96 divisors (see below), whose sum is σ = 1521197280. Its totient is φ = 174458880.

The previous prime is 540664567. The next prime is 540664633. The reversal of 540664600 is 6466045.

It is an interprime number because it is at equal distance from previous prime (540664567) and next prime (540664633).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12442 + ... + 35158.

It is an arithmetic number, because the mean of its divisors is an integer number (15845805).

Almost surely, 2^540664600 is an apocalyptic number.

540664600 is a gapful number since it is divisible by the number (50) 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 540664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760598640).

540664600 is an abundant number, since it is smaller than the sum of its proper divisors (980532680).

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

540664600 is a wasteful number, since it uses less digits than its factorization.

540664600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22757 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 540664600 is about 23252.1955952551. The cubic root of 540664600 is about 814.6592224539.

The spelling of 540664600 in words is "five hundred forty million, six hundred sixty-four thousand, six hundred".