89462240 has 72 divisors (see below), whose sum is σ = 245882952. Its totient is φ = 30670080.

The previous prime is 89462237. The next prime is 89462267. The reversal of 89462240 is 4226498.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 89462240.

It is a congruent number.

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, 2135 + ... + 13545.

It is an arithmetic number, because the mean of its divisors is an integer number (3415041).

Almost surely, 2^89462240 is an apocalyptic number.

89462240 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 89462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122941476).

89462240 is an abundant number, since it is smaller than the sum of its proper divisors (156420712).

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

89462240 is a wasteful number, since it uses less digits than its factorization.

89462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11425 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 89462240 is about 9458.4480756623. The cubic root of 89462240 is about 447.2461279667.

The spelling of 89462240 in words is "eighty-nine million, four hundred sixty-two thousand, two hundred forty".