80916960 has 96 divisors (see below), whose sum is σ = 263723040. Its totient is φ = 20830208.

The previous prime is 80916943. The next prime is 80916961. The reversal of 80916960 is 6961908.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80916961) 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, 11014 + ... + 16826.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^80916960 is an apocalyptic number.

80916960 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 80916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520).

80916960 is an abundant number, since it is smaller than the sum of its proper divisors (182806080).

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

80916960 is a wasteful number, since it uses less digits than its factorization.

80916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 80916960 is about 8995.3854836800. The cubic root of 80916960 is about 432.5269632471.

It can be divided in two parts, 8091 and 6960, that added together give a palindrome (15051).

The spelling of 80916960 in words is "eighty million, nine hundred sixteen thousand, nine hundred sixty".