816943920 has 160 divisors (see below), whose sum is σ = 2821694400. Its totient is φ = 194138112.

The previous prime is 816943909. The next prime is 816943927. The reversal of 816943920 is 29349618.

816943920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (816943927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85966 + ... + 94994.

It is an arithmetic number, because the mean of its divisors is an integer number (17635590).

Almost surely, 2^816943920 is an apocalyptic number.

816943920 is a gapful number since it is divisible by the number (80) 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 816943920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410847200).

816943920 is an abundant number, since it is smaller than the sum of its proper divisors (2004750480).

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

816943920 is a wasteful number, since it uses less digits than its factorization.

816943920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 816943920 is about 28582.2308436553. The cubic root of 816943920 is about 934.8259258233.

The spelling of 816943920 in words is "eight hundred sixteen million, nine hundred forty-three thousand, nine hundred twenty".