920191104 has 320 divisors, whose sum is σ = 3238540800. Its totient is φ = 253808640.

The previous prime is 920191091. The next prime is 920191123. The reversal of 920191104 is 401191029.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249652 + ... + 2250060.

It is an arithmetic number, because the mean of its divisors is an integer number (10120440).

Almost surely, 2^920191104 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 920191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619270400).

920191104 is an abundant number, since it is smaller than the sum of its proper divisors (2318349696).

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

920191104 is a wasteful number, since it uses less digits than its factorization.

920191104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 920191104 is about 30334.6518687787. The cubic root of 920191104 is about 972.6561641707.

The spelling of 920191104 in words is "nine hundred twenty million, one hundred ninety-one thousand, one hundred four".