921888 has 96 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 276480.

The previous prime is 921887. The next prime is 921889. The reversal of 921888 is 888129.

It is an interprime number because it is at equal distance from previous prime (921887) and next prime (921889).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 921888.

It is not an unprimeable number, because it can be changed into a prime (921887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9456 + ... + 9552.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2⁹²¹⁸⁸⁸ 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 921888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

921888 is an abundant number, since it is smaller than the sum of its proper divisors (2041632).

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

921888 is a wasteful number, since it uses less digits than its factorization.

921888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 921888 is about 960.1499882831. The cubic root of 921888 is about 97.3253678767.

The spelling of 921888 in words is "nine hundred twenty-one thousand, eight hundred eighty-eight".