89908224 has 176 divisors, whose sum is σ = 283763328. Its totient is φ = 24772608.

The previous prime is 89908213. The next prime is 89908229. The reversal of 89908224 is 42280998.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89908229) 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 15 ways as a sum of consecutive naturals, for example, 795592 + ... + 795704.

Almost surely, 2^89908224 is an apocalyptic number.

89908224 is a gapful number since it is divisible by the number (84) 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 89908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141881664).

89908224 is an abundant number, since it is smaller than the sum of its proper divisors (193855104).

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

89908224 is a wasteful number, since it uses less digits than its factorization.

89908224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 89908224 is about 9481.9947268494. The cubic root of 89908224 is about 447.9880949217.

The spelling of 89908224 in words is "eighty-nine million, nine hundred eight thousand, two hundred twenty-four".