80850960 has 120 divisors (see below), whose sum is σ = 281648640. Its totient is φ = 21555072.

The previous prime is 80850943. The next prime is 80850989. The reversal of 80850960 is 6905808.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17361 + ... + 21519.

It is an arithmetic number, because the mean of its divisors is an integer number (2347072).

Almost surely, 2^80850960 is an apocalyptic number.

80850960 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 80850960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824320).

80850960 is an abundant number, since it is smaller than the sum of its proper divisors (200797680).

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

80850960 is a wasteful number, since it uses less digits than its factorization.

80850960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 80850960 is about 8991.7161876919. The cubic root of 80850960 is about 432.4093342420.

It can be divided in two parts, 80850 and 960, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 80850960 in words is "eighty million, eight hundred fifty thousand, nine hundred sixty".