89873640 has 96 divisors (see below), whose sum is σ = 299262600. Its totient is φ = 23377920.

The previous prime is 89873633. The next prime is 89873653. The reversal of 89873640 is 4637898.

89873640 = T₁₆₀ + T₁₆₁ + ... + T₈₁₅.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35497764 + 54375876 = 5958^2 + 7374^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 11716 + ... + 17804.

Almost surely, 2^89873640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89873640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149631300).

89873640 is an abundant number, since it is smaller than the sum of its proper divisors (209388960).

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

89873640 is a wasteful number, since it uses less digits than its factorization.

89873640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 89873640 is about 9480.1708845358. The cubic root of 89873640 is about 447.9306466834.

The spelling of 89873640 in words is "eighty-nine million, eight hundred seventy-three thousand, six hundred forty".