213196464 has 120 divisors (see below), whose sum is σ = 653433872. Its totient is φ = 64488960.

The previous prime is 213196421. The next prime is 213196471. The reversal of 213196464 is 464691312.

213196464 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 9 + 646 + 4 = 666.

213196464 is digitally balanced in base 2, 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 (36).

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

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, 113259 + ... + 115125.

Almost surely, 2^213196464 is an apocalyptic number.

213196464 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 213196464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326716936).

213196464 is an abundant number, since it is smaller than the sum of its proper divisors (440237408).

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

213196464 is a wasteful number, since it uses less digits than its factorization.

213196464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1946 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 213196464 is about 14601.2487137231. The cubic root of 213196464 is about 597.3928207700.

The spelling of 213196464 in words is "two hundred thirteen million, one hundred ninety-six thousand, four hundred sixty-four".