901992 has 96 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 233856.

The previous prime is 901973. The next prime is 901993. The reversal of 901992 is 299109.

901992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 901992.

It is not an unprimeable number, because it can be changed into a prime (901993) by changing a digit.

901992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15259 + ... + 15317.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2⁹⁰¹⁹⁹² 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 901992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

901992 is an abundant number, since it is smaller than the sum of its proper divisors (1970808).

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

901992 is a wasteful number, since it uses less digits than its factorization.

901992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 901992 is about 949.7325939442. The cubic root of 901992 is about 96.6201176332.

The spelling of 901992 in words is "nine hundred one thousand, nine hundred ninety-two".