89072640 has 132 divisors (see below), whose sum is σ = 308794044. Its totient is φ = 23740416.

The previous prime is 89072617. The next prime is 89072663. The reversal of 89072640 is 4627098.

89072640 is a `hidden beast` number, since 8 + 9 + 0 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (89072617) and next prime (89072663).

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 42614784 = 6816^2 + 6528^2 .

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 = 89072595 and 89072604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45114 + ... + 47046.

Almost surely, 2^89072640 is an apocalyptic number.

89072640 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 89072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154397022).

89072640 is an abundant number, since it is smaller than the sum of its proper divisors (219721404).

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

89072640 is a wasteful number, since it uses less digits than its factorization.

89072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 89072640 is about 9437.8302591221. The cubic root of 89072640 is about 446.5959443485.

The spelling of 89072640 in words is "eighty-nine million, seventy-two thousand, six hundred forty".