89087040 has 280 divisors, whose sum is σ = 362907072. Its totient is φ = 20321280.

The previous prime is 89087017. The next prime is 89087041. The reversal of 89087040 is 4078098.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89086986 and 89087004.

It is not an unprimeable number, because it can be changed into a prime (89087041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181195 + ... + 181685.

Almost surely, 2^89087040 is an apocalyptic number.

89087040 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 89087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181453536).

89087040 is an abundant number, since it is smaller than the sum of its proper divisors (273820032).

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

89087040 is a wasteful number, since it uses less digits than its factorization.

89087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 89087040 is about 9438.5931155019. The cubic root of 89087040 is about 446.6200094826.

The spelling of 89087040 in words is "eighty-nine million, eighty-seven thousand, forty".