89858496 has 224 divisors, whose sum is σ = 302686720. Its totient is φ = 22892544.

The previous prime is 89858453. The next prime is 89858497. The reversal of 89858496 is 69485898.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89858497) 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 31 ways as a sum of consecutive naturals, for example, 646395 + ... + 646533.

It is an arithmetic number, because the mean of its divisors is an integer number (1351280).

Almost surely, 2^89858496 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 89858496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151343360).

89858496 is an abundant number, since it is smaller than the sum of its proper divisors (212828224).

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

89858496 is a wasteful number, since it uses less digits than its factorization.

89858496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The square root of 89858496 is about 9479.3721311066. The cubic root of 89858496 is about 447.9054860143.

The spelling of 89858496 in words is "eighty-nine million, eight hundred fifty-eight thousand, four hundred ninety-six".