89106480 has 100 divisors (see below), whose sum is σ = 309502512. Its totient is φ = 23760000.

The previous prime is 89106467. The next prime is 89106517. The reversal of 89106480 is 8460198.

It is a happy number.

89106480 is a `hidden beast` number, since 8 + 9 + 1 + 0 + 648 + 0 = 666.

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 19 ways as a sum of consecutive naturals, for example, 396 + ... + 13355.

Almost surely, 2^89106480 is an apocalyptic number.

89106480 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 89106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154751256).

89106480 is an abundant number, since it is smaller than the sum of its proper divisors (220396032).

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

89106480 is a wasteful number, since it uses less digits than its factorization.

89106480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776 (or 13761 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89106480 is about 9439.6228738229. The cubic root of 89106480 is about 446.6524933004.

The spelling of 89106480 in words is "eighty-nine million, one hundred six thousand, four hundred eighty".