213307680 has 144 divisors (see below), whose sum is σ = 709720704. Its totient is φ = 53844480.

The previous prime is 213307651. The next prime is 213307697. The reversal of 213307680 is 86703312.

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 23 ways as a sum of consecutive naturals, for example, 172665 + ... + 173895.

It is an arithmetic number, because the mean of its divisors is an integer number (4928616).

Almost surely, 2^213307680 is an apocalyptic number.

213307680 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 213307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354860352).

213307680 is an abundant number, since it is smaller than the sum of its proper divisors (496413024).

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

213307680 is a wasteful number, since it uses less digits than its factorization.

213307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 213307680 is about 14605.0566585686. The cubic root of 213307680 is about 597.4966812955.

The spelling of 213307680 in words is "two hundred thirteen million, three hundred seven thousand, six hundred eighty".