89964240 has 160 divisors (see below), whose sum is σ = 297897600. Its totient is φ = 22394880.

The previous prime is 89964239. The next prime is 89964241. The reversal of 89964240 is 4246998.

It is an interprime number because it is at equal distance from previous prime (89964239) and next prime (89964241).

It is a junction number, because it is equal to n+sod(n) for n = 89964192 and 89964201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89964241) 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, 496950 + ... + 497130.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^89964240 is an apocalyptic number.

89964240 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 89964240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

89964240 is an abundant number, since it is smaller than the sum of its proper divisors (207933360).

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

89964240 is a wasteful number, since it uses less digits than its factorization.

89964240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 89964240 is about 9484.9480757672. The cubic root of 89964240 is about 448.0811130767.

The spelling of 89964240 in words is "eighty-nine million, nine hundred sixty-four thousand, two hundred forty".