213122880 has 224 divisors, whose sum is σ = 796625280. Its totient is φ = 53452800.

The previous prime is 213122873. The next prime is 213122909. The reversal of 213122880 is 88221312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 146155 + ... + 147605.

Almost surely, 2^213122880 is an apocalyptic number.

213122880 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 213122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398312640).

213122880 is an abundant number, since it is smaller than the sum of its proper divisors (583502400).

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

213122880 is a wasteful number, since it uses less digits than its factorization.

213122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 213122880 is about 14598.7287117749. The cubic root of 213122880 is about 597.3240835267.

The spelling of 213122880 in words is "two hundred thirteen million, one hundred twenty-two thousand, eight hundred eighty".