80161920 has 128 divisors (see below), whose sum is σ = 283968000. Its totient is φ = 21371904.

The previous prime is 80161909. The next prime is 80161927. The reversal of 80161920 is 2916108.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (80161927) 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, 14961 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (2218500).

Almost surely, 2^80161920 is an apocalyptic number.

80161920 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 80161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141984000).

80161920 is an abundant number, since it is smaller than the sum of its proper divisors (203806080).

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

80161920 is a wasteful number, since it uses less digits than its factorization.

80161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 80161920 is about 8953.3189376901. The cubic root of 80161920 is about 431.1774471518.

The spelling of 80161920 in words is "eighty million, one hundred sixty-one thousand, nine hundred twenty".