921264 has 40 divisors (see below), whose sum is σ = 2522160. Its totient is φ = 288768.

The previous prime is 921259. The next prime is 921287. The reversal of 921264 is 462129.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 921264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252 + ... + 1380.

It is an arithmetic number, because the mean of its divisors is an integer number (63054).

2⁹²¹²⁶⁴ 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 921264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261080).

921264 is an abundant number, since it is smaller than the sum of its proper divisors (1600896).

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

921264 is a wasteful number, since it uses less digits than its factorization.

921264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 921264 is about 959.8249840466. The cubic root of 921264 is about 97.3034039878.

The spelling of 921264 in words is "nine hundred twenty-one thousand, two hundred sixty-four".