89482080 has 96 divisors (see below), whose sum is σ = 283306464. Its totient is φ = 23740416.

The previous prime is 89482079. The next prime is 89482087. The reversal of 89482080 is 8028498.

It is a happy number.

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

It is a super-2 number, since 2×89482080² = 16014085282252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89482087) 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, 132624 + ... + 133296.

It is an arithmetic number, because the mean of its divisors is an integer number (2951109).

Almost surely, 2^89482080 is an apocalyptic number.

89482080 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 89482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141653232).

89482080 is an abundant number, since it is smaller than the sum of its proper divisors (193824384).

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

89482080 is a wasteful number, since it uses less digits than its factorization.

89482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 89482080 is about 9459.4968153703. The cubic root of 89482080 is about 447.2791873793.

The spelling of 89482080 in words is "eighty-nine million, four hundred eighty-two thousand, eighty".