213802960 has 40 divisors (see below), whose sum is σ = 568106496. Its totient is φ = 73303680.

The previous prime is 213802951. The next prime is 213802973. The reversal of 213802960 is 69208312.

It is a tau number, because it is divible by the number of its divisors (40).

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, 190336 + ... + 191455.

Almost surely, 2^213802960 is an apocalyptic number.

213802960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213802960 is an abundant number, since it is smaller than the sum of its proper divisors (354303536).

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

213802960 is a wasteful number, since it uses less digits than its factorization.

213802960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381811 (or 381805 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 213802960 is about 14622.0025988235. The cubic root of 213802960 is about 597.9587671931.

The spelling of 213802960 in words is "two hundred thirteen million, eight hundred two thousand, nine hundred sixty".