209931264 has 110 divisors (see below), whose sum is σ = 627143484. Its totient is φ = 69949440.

The previous prime is 209931259. The next prime is 209931307. The reversal of 209931264 is 462139902.

It is a super-2 number, since 2×209931264² = 88142271209275392, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81679 + ... + 84209.

Almost surely, 2^209931264 is an apocalyptic number.

209931264 is a gapful number since it is divisible by the number (24) 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 209931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313571742).

209931264 is an abundant number, since it is smaller than the sum of its proper divisors (417212220).

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

209931264 is an equidigital number, since it uses as much as digits as its factorization.

209931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 209931264 is about 14489.0049347773. The cubic root of 209931264 is about 594.3273371805.

The spelling of 209931264 in words is "two hundred nine million, nine hundred thirty-one thousand, two hundred sixty-four".