921168 has 30 divisors (see below), whose sum is σ = 2578394. Its totient is φ = 307008.

The previous prime is 921157. The next prime is 921169. The reversal of 921168 is 861129.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 419904 = 708^2 + 648^2 .

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 921168.

It is not an unprimeable number, because it can be changed into a prime (921169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3055 + ... + 3342.

2⁹²¹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

921168 is an abundant number, since it is smaller than the sum of its proper divisors (1657226).

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

921168 is a wasteful number, since it uses less digits than its factorization.

921168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6402 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 921168 is about 959.7749736266. The cubic root of 921168 is about 97.3000240477.

It can be divided in two parts, 921 and 168, that added together give a square (1089 = 33²).

The spelling of 921168 in words is "nine hundred twenty-one thousand, one hundred sixty-eight".