213632496 has 120 divisors (see below), whose sum is σ = 745440384. Its totient is φ = 55486080.

The previous prime is 213632483. The next prime is 213632521. The reversal of 213632496 is 694236312.

213632496 is a `hidden beast` number, since 2 + 13 + 632 + 4 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213632496.

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, 1455 + ... + 20721.

Almost surely, 2^213632496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213632496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372720192).

213632496 is an abundant number, since it is smaller than the sum of its proper divisors (531807888).

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

213632496 is a wasteful number, since it uses less digits than its factorization.

213632496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19299 (or 19290 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 213632496 is about 14616.1724127762. The cubic root of 213632496 is about 597.7998084571.

The spelling of 213632496 in words is "two hundred thirteen million, six hundred thirty-two thousand, four hundred ninety-six".