213986976 has 96 divisors (see below), whose sum is σ = 644474880. Its totient is φ = 60900096.

The previous prime is 213986959. The next prime is 213987029. The reversal of 213986976 is 679689312.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240805 + ... + 241691.

It is an arithmetic number, because the mean of its divisors is an integer number (6713280).

Almost surely, 2^213986976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213986976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322237440).

213986976 is an abundant number, since it is smaller than the sum of its proper divisors (430487904).

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

213986976 is a wasteful number, since it uses less digits than its factorization.

213986976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1258 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 213986976 is about 14628.2936803990. The cubic root of 213986976 is about 598.1302684476.

The spelling of 213986976 in words is "two hundred thirteen million, nine hundred eighty-six thousand, nine hundred seventy-six".