89418672 has 120 divisors (see below), whose sum is σ = 292790784. Its totient is φ = 24941952.

The previous prime is 89418671. The next prime is 89418673. The reversal of 89418672 is 27681498.

It is an interprime number because it is at equal distance from previous prime (89418671) and next prime (89418673).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89418671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42313 + ... + 44375.

Almost surely, 2^89418672 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 89418672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146395392).

89418672 is an abundant number, since it is smaller than the sum of its proper divisors (203372112).

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

89418672 is a wasteful number, since it uses less digits than its factorization.

89418672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2118 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 89418672 is about 9456.1446689441. The cubic root of 89418672 is about 447.1735134077.

The spelling of 89418672 in words is "eighty-nine million, four hundred eighteen thousand, six hundred seventy-two".