89040960 has 168 divisors, whose sum is σ = 313822080. Its totient is φ = 23159808.

The previous prime is 89040937. The next prime is 89041009. The reversal of 89040960 is 6904098.

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 23 ways as a sum of consecutive naturals, for example, 123481 + ... + 124199.

Almost surely, 2^89040960 is an apocalyptic number.

89040960 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 89040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156911040).

89040960 is an abundant number, since it is smaller than the sum of its proper divisors (224781120).

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

89040960 is a wasteful number, since it uses less digits than its factorization.

89040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 89040960 is about 9436.1517579997. The cubic root of 89040960 is about 446.5429919224.

It can be divided in two parts, 89040 and 960, that added together give a square (90000 = 300²).

The spelling of 89040960 in words is "eighty-nine million, forty thousand, nine hundred sixty".