89952408 has 96 divisors (see below), whose sum is σ = 299863200. Its totient is φ = 23721984.

The previous prime is 89952397. The next prime is 89952409. The reversal of 89952408 is 80425998.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89952409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313 + ... + 13416.

It is an arithmetic number, because the mean of its divisors is an integer number (3123575).

Almost surely, 2^89952408 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 89952408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149931600).

89952408 is an abundant number, since it is smaller than the sum of its proper divisors (209910792).

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

89952408 is a wasteful number, since it uses less digits than its factorization.

89952408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 89952408 is about 9484.3243301777. The cubic root of 89952408 is about 448.0614685003.

The spelling of 89952408 in words is "eighty-nine million, nine hundred fifty-two thousand, four hundred eight".