213062976 has 126 divisors (see below), whose sum is σ = 710507850. Its totient is φ = 60867072.

The previous prime is 213062959. The next prime is 213062981. The reversal of 213062976 is 679260312.

213062976 is a `hidden beast` number, since 21 + 3 + 0 + 629 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 9144576 = 14280^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213062976.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 24450 + ... + 31998.

Almost surely, 2^213062976 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 213062976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355253925).

213062976 is an abundant number, since it is smaller than the sum of its proper divisors (497444874).

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

213062976 is a wasteful number, since it uses less digits than its factorization.

213062976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 213062976 is about 14596.6768820852. The cubic root of 213062976 is about 597.2681135390.

The spelling of 213062976 in words is "two hundred thirteen million, sixty-two thousand, nine hundred seventy-six".