213376960 has 56 divisors (see below), whose sum is σ = 509723136. Its totient is φ = 85079040.

The previous prime is 213376931. The next prime is 213376991. The reversal of 213376960 is 69673312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121690 + ... + 123430.

Almost surely, 2^213376960 is an apocalyptic number.

213376960 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 213376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254861568).

213376960 is an abundant number, since it is smaller than the sum of its proper divisors (296346176).

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

213376960 is a wasteful number, since it uses less digits than its factorization.

213376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 213376960 is about 14607.4282472994. The cubic root of 213376960 is about 597.5613610879.

The spelling of 213376960 in words is "two hundred thirteen million, three hundred seventy-six thousand, nine hundred sixty".