264201920 has 56 divisors (see below), whose sum is σ = 656502624. Its totient is φ = 101083136.

The previous prime is 264201881. The next prime is 264201923. The reversal of 264201920 is 29102462.

It is a self number, because there is not a number n which added to its sum of digits gives 264201920.

It is not an unprimeable number, because it can be changed into a prime (264201923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10589 + ... + 25308.

Almost surely, 2^264201920 is an apocalyptic number.

264201920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264201920 is an abundant number, since it is smaller than the sum of its proper divisors (392300704).

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

264201920 is a wasteful number, since it uses less digits than its factorization.

264201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35937 (or 35927 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 264201920 is about 16254.2892800639. The cubic root of 264201920 is about 641.6703761709.

The spelling of 264201920 in words is "two hundred sixty-four million, two hundred one thousand, nine hundred twenty".