264020600 has 48 divisors (see below), whose sum is σ = 622527120. Its totient is φ = 104115200.

The previous prime is 264020597. The next prime is 264020609. The reversal of 264020600 is 6020462.

264020600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264020609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4904 + ... + 23496.

It is an arithmetic number, because the mean of its divisors is an integer number (12969315).

Almost surely, 2^264020600 is an apocalyptic number.

264020600 is a gapful number since it is divisible by the number (20) 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 264020600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311263560).

264020600 is an abundant number, since it is smaller than the sum of its proper divisors (358506520).

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

264020600 is a wasteful number, since it uses less digits than its factorization.

264020600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18680 (or 18671 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 264020600 is about 16248.7107180847. The cubic root of 264020600 is about 641.5235512236.

The spelling of 264020600 in words is "two hundred sixty-four million, twenty thousand, six hundred".