80553984 has 96 divisors (see below), whose sum is σ = 245568960. Its totient is φ = 23003136.

The previous prime is 80553983. The next prime is 80553997. The reversal of 80553984 is 48935508.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80553983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42072 + ... + 43944.

It is an arithmetic number, because the mean of its divisors is an integer number (2558010).

Almost surely, 2^80553984 is an apocalyptic number.

80553984 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 80553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122784480).

80553984 is an abundant number, since it is smaller than the sum of its proper divisors (165014976).

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

80553984 is a wasteful number, since it uses less digits than its factorization.

80553984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 80553984 is about 8975.1871289684. The cubic root of 80553984 is about 431.8792529476.

The spelling of 80553984 in words is "eighty million, five hundred fifty-three thousand, nine hundred eighty-four".