89474880 has 224 divisors, whose sum is σ = 319674240. Its totient is φ = 21012480.

The previous prime is 89474863. The next prime is 89474909. The reversal of 89474880 is 8847498.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390606 + ... + 390834.

Almost surely, 2^89474880 is an apocalyptic number.

89474880 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 89474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159837120).

89474880 is an abundant number, since it is smaller than the sum of its proper divisors (230199360).

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

89474880 is a wasteful number, since it uses less digits than its factorization.

89474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 89474880 is about 9459.1162377888. The cubic root of 89474880 is about 447.2671905768.

The spelling of 89474880 in words is "eighty-nine million, four hundred seventy-four thousand, eight hundred eighty".