213302880 has 216 divisors, whose sum is σ = 847016352. Its totient is φ = 48738816.

The previous prime is 213302849. The next prime is 213302933. The reversal of 213302880 is 88203312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69049 + ... + 72071.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^213302880 is an apocalyptic number.

213302880 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 213302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423508176).

213302880 is an abundant number, since it is smaller than the sum of its proper divisors (633713472).

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

213302880 is a wasteful number, since it uses less digits than its factorization.

213302880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 213302880 is about 14604.8923309965. The cubic root of 213302880 is about 597.4921994978.

The spelling of 213302880 in words is "two hundred thirteen million, three hundred two thousand, eight hundred eighty".