89871120 has 280 divisors, whose sum is σ = 331782336. Its totient is φ = 22581504.

The previous prime is 89871091. The next prime is 89871149. The reversal of 89871120 is 2117898.

It is an interprime number because it is at equal distance from previous prime (89871091) and next prime (89871149).

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 55 ways as a sum of consecutive naturals, for example, 1341327 + ... + 1341393.

Almost surely, 2^89871120 is an apocalyptic number.

89871120 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 89871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165891168).

89871120 is an abundant number, since it is smaller than the sum of its proper divisors (241911216).

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

89871120 is a wasteful number, since it uses less digits than its factorization.

89871120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 89871120 is about 9480.0379746075. The cubic root of 89871120 is about 447.9264600803.

The spelling of 89871120 in words is "eighty-nine million, eight hundred seventy-one thousand, one hundred twenty".