920192 has 64 divisors (see below), whose sum is σ = 2284800. Its totient is φ = 359424.

The previous prime is 920167. The next prime is 920197. The reversal of 920192 is 291029.

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920192.

It is not an unprimeable number, because it can be changed into a prime (920197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11609 + ... + 11687.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

2⁹²⁰¹⁹² 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 920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142400).

920192 is an abundant number, since it is smaller than the sum of its proper divisors (1364608).

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

920192 is a wasteful number, since it uses less digits than its factorization.

920192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 920192 is about 959.2663863599. The cubic root of 920192 is about 97.2656479866.

The spelling of 920192 in words is "nine hundred twenty thousand, one hundred ninety-two".