213432960 has 256 divisors, whose sum is σ = 777288960. Its totient is φ = 49348608.

The previous prime is 213432959. The next prime is 213432991. The reversal of 213432960 is 69234312.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424069 + ... + 424571.

It is an arithmetic number, because the mean of its divisors is an integer number (3036285).

Almost surely, 2^213432960 is an apocalyptic number.

213432960 is a gapful number since it is divisible by the number (20) 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 213432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

213432960 is an abundant number, since it is smaller than the sum of its proper divisors (563856000).

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

213432960 is a wasteful number, since it uses less digits than its factorization.

213432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 213432960 is about 14609.3449545146. The cubic root of 213432960 is about 597.6136324440.

The spelling of 213432960 in words is "two hundred thirteen million, four hundred thirty-two thousand, nine hundred sixty".