89961408 has 112 divisors (see below), whose sum is σ = 268224000. Its totient is φ = 29562624.

The previous prime is 89961383. The next prime is 89961413. The reversal of 89961408 is 80416998.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136183 + ... + 136841.

Almost surely, 2^89961408 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 89961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134112000).

89961408 is an abundant number, since it is smaller than the sum of its proper divisors (178262592).

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

89961408 is a wasteful number, since it uses less digits than its factorization.

89961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 89961408 is about 9484.7987854250. The cubic root of 89961408 is about 448.0764112862.

It can be divided in two parts, 8996 and 1408, that added together give a square (10404 = 102²).

The spelling of 89961408 in words is "eighty-nine million, nine hundred sixty-one thousand, four hundred eight".