89418240 has 120 divisors (see below), whose sum is σ = 309760308. Its totient is φ = 23838720.

The previous prime is 89418239. The next prime is 89418311. The reversal of 89418240 is 4281498.

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 2304 = 9456^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 89418195 and 89418204.

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, 21100 + ... + 24980.

Almost surely, 2^89418240 is an apocalyptic number.

89418240 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 89418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154880154).

89418240 is an abundant number, since it is smaller than the sum of its proper divisors (220342068).

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

89418240 is a wasteful number, since it uses less digits than its factorization.

89418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 89418240 is about 9456.1218266264. The cubic root of 89418240 is about 447.1727932774.

The spelling of 89418240 in words is "eighty-nine million, four hundred eighteen thousand, two hundred forty".