80889984 has 144 divisors (see below), whose sum is σ = 270961470. Its totient is φ = 23095296.

The previous prime is 80889937. The next prime is 80889989. The reversal of 80889984 is 48998808.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 23736384 = 7560^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 80889984.

It is not an unprimeable number, because it can be changed into a prime (80889989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55732 + ... + 57164.

Almost surely, 2^80889984 is an apocalyptic number.

80889984 is a gapful number since it is divisible by the number (84) 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 80889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135480735).

80889984 is an abundant number, since it is smaller than the sum of its proper divisors (190071486).

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

80889984 is a wasteful number, since it uses less digits than its factorization.

80889984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 80889984 is about 8993.8859232258. The cubic root of 80889984 is about 432.4788927964.

The spelling of 80889984 in words is "eighty million, eight hundred eighty-nine thousand, nine hundred eighty-four".