920172096 has 112 divisors (see below), whose sum is σ = 2713532800. Its totient is φ = 305773056.

The previous prime is 920172091. The next prime is 920172119. The reversal of 920172096 is 690271029.

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

It is a self number, because there is not a number n which added to its sum of digits gives 920172096.

It is not an unprimeable number, because it can be changed into a prime (920172091) 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, 757986 + ... + 759198.

Almost surely, 2^920172096 is an apocalyptic number.

920172096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356766400).

920172096 is an abundant number, since it is smaller than the sum of its proper divisors (1793360704).

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

920172096 is a wasteful number, since it uses less digits than its factorization.

920172096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 920172096 is about 30334.3385620982. The cubic root of 920172096 is about 972.6494668750.

The spelling of 920172096 in words is "nine hundred twenty million, one hundred seventy-two thousand, ninety-six".