921891264 has 112 divisors (see below), whose sum is σ = 2827178496. Its totient is φ = 259660800.

The previous prime is 921891253. The next prime is 921891277. The reversal of 921891264 is 462198129.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90594 + ... + 100254.

Almost surely, 2^921891264 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 921891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413589248).

921891264 is an abundant number, since it is smaller than the sum of its proper divisors (1905287232).

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

921891264 is a wasteful number, since it uses less digits than its factorization.

921891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754 (or 9744 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 921891264 is about 30362.6623338600. The cubic root of 921891264 is about 973.2548273872.

The spelling of 921891264 in words is "nine hundred twenty-one million, eight hundred ninety-one thousand, two hundred sixty-four".