213061968 has 80 divisors (see below), whose sum is σ = 698943360. Its totient is φ = 60873984.

The previous prime is 213061967. The next prime is 213061993. The reversal of 213061968 is 869160312.

213061968 is a `hidden beast` number, since 2 + 1 + 30 + 619 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213061963) by changing a digit.

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, 32205 + ... + 38252.

It is an arithmetic number, because the mean of its divisors is an integer number (8736792).

Almost surely, 2^213061968 is an apocalyptic number.

213061968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

213061968 is an abundant number, since it is smaller than the sum of its proper divisors (485881392).

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

213061968 is a wasteful number, since it uses less digits than its factorization.

213061968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70481 (or 70469 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 213061968 is about 14596.6423536374. The cubic root of 213061968 is about 597.2671716465.

The spelling of 213061968 in words is "two hundred thirteen million, sixty-one thousand, nine hundred sixty-eight".