89238240 has 384 divisors, whose sum is σ = 386104320. Its totient is φ = 18745344.

The previous prime is 89238223. The next prime is 89238241. The reversal of 89238240 is 4283298.

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 = 89238195 and 89238204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89238241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393007 + ... + 393233.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^89238240 is an apocalyptic number.

89238240 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 89238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

89238240 is an abundant number, since it is smaller than the sum of its proper divisors (296866080).

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

89238240 is a wasteful number, since it uses less digits than its factorization.

89238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89238240 is about 9446.5993881396. The cubic root of 89238240 is about 446.8725369646.

The spelling of 89238240 in words is "eighty-nine million, two hundred thirty-eight thousand, two hundred forty".