89606496 has 144 divisors (see below), whose sum is σ = 280615104. Its totient is φ = 24950016.

The previous prime is 89606483. The next prime is 89606509. The reversal of 89606496 is 69460698.

It is an interprime number because it is at equal distance from previous prime (89606483) and next prime (89606509).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202051 + ... + 202493.

It is an arithmetic number, because the mean of its divisors is an integer number (1948716).

Almost surely, 2^89606496 is an apocalyptic number.

89606496 is a gapful number since it is divisible by the number (86) 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 89606496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140307552).

89606496 is an abundant number, since it is smaller than the sum of its proper divisors (191008608).

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

89606496 is a wasteful number, since it uses less digits than its factorization.

89606496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 89606496 is about 9466.0707793678. The cubic root of 89606496 is about 447.4863905643.

The spelling of 89606496 in words is "eighty-nine million, six hundred six thousand, four hundred ninety-six".