213099264 has 216 divisors, whose sum is σ = 715743392. Its totient is φ = 59719680.

The previous prime is 213099259. The next prime is 213099281. The reversal of 213099264 is 462990312.

It is a super-2 number, since 2×213099264² = 90822592634683392, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177254 + ... + 1177434.

Almost surely, 2^213099264 is an apocalyptic number.

213099264 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 213099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357871696).

213099264 is an abundant number, since it is smaller than the sum of its proper divisors (502644128).

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

213099264 is a wasteful number, since it uses less digits than its factorization.

213099264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

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

The square root of 213099264 is about 14597.9198518145. The cubic root of 213099264 is about 597.3020196879.

The spelling of 213099264 in words is "two hundred thirteen million, ninety-nine thousand, two hundred sixty-four".