89440120 has 128 divisors (see below), whose sum is σ = 255052800. Its totient is φ = 27417600.

The previous prime is 89440103. The next prime is 89440121. The reversal of 89440120 is 2104498.

It is a super-2 number, since 2×89440120² = 15999070131228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89440121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218476 + ... + 218884.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 2^89440120 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 89440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127526400).

89440120 is an abundant number, since it is smaller than the sum of its proper divisors (165612680).

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

89440120 is a wasteful number, since it uses less digits than its factorization.

89440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 89440120 is about 9457.2786783514. The cubic root of 89440120 is about 447.2092636247.

It can be divided in two parts, 894 and 40120, that added together give a palindrome (41014).

The spelling of 89440120 in words is "eighty-nine million, four hundred forty thousand, one hundred twenty".