213754656 has 96 divisors (see below), whose sum is σ = 575769600. Its totient is φ = 69417216.

The previous prime is 213754633. The next prime is 213754687. The reversal of 213754656 is 656457312.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074045 + ... + 1074243.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2^213754656 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 213754656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884800).

213754656 is an abundant number, since it is smaller than the sum of its proper divisors (362014944).

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

213754656 is a wasteful number, since it uses less digits than its factorization.

213754656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 213754656 is about 14620.3507481866. The cubic root of 213754656 is about 597.9137319953.

The spelling of 213754656 in words is "two hundred thirteen million, seven hundred fifty-four thousand, six hundred fifty-six".