213162432 has 112 divisors (see below), whose sum is σ = 648614400. Its totient is φ = 60521472.

The previous prime is 213162431. The next prime is 213162451. The reversal of 213162432 is 234261312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213162431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267058 + ... + 267854.

It is an arithmetic number, because the mean of its divisors is an integer number (5791200).

Almost surely, 2^213162432 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 213162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324307200).

213162432 is an abundant number, since it is smaller than the sum of its proper divisors (435451968).

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

213162432 is a wasteful number, since it uses less digits than its factorization.

213162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 213162432 is about 14600.0832874337. The cubic root of 213162432 is about 597.3610323217.

The spelling of 213162432 in words is "two hundred thirteen million, one hundred sixty-two thousand, four hundred thirty-two".