89886720 has 416 divisors, whose sum is σ = 377441280. Its totient is φ = 17694720.

The previous prime is 89886703. The next prime is 89886749. The reversal of 89886720 is 2768898.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89886720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4730871 + ... + 4730889.

Almost surely, 2^89886720 is an apocalyptic number.

89886720 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 89886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188720640).

89886720 is an abundant number, since it is smaller than the sum of its proper divisors (287554560).

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

89886720 is a wasteful number, since it uses less digits than its factorization.

89886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 89886720 is about 9480.8607204199. The cubic root of 89886720 is about 447.9523758899.

The spelling of 89886720 in words is "eighty-nine million, eight hundred eighty-six thousand, seven hundred twenty".