213165680 has 240 divisors, whose sum is σ = 641208960. Its totient is φ = 65286144.

The previous prime is 213165613. The next prime is 213165697. The reversal of 213165680 is 86561312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2395076 + ... + 2395164.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^213165680 is an apocalyptic number.

213165680 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 213165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

213165680 is an abundant number, since it is smaller than the sum of its proper divisors (428043280).

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

213165680 is a wasteful number, since it uses less digits than its factorization.

213165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 213165680 is about 14600.1945192521. The cubic root of 213165680 is about 597.3640663441.

The spelling of 213165680 in words is "two hundred thirteen million, one hundred sixty-five thousand, six hundred eighty".