89869248 has 168 divisors, whose sum is σ = 304312320. Its totient is φ = 24814080.

The previous prime is 89869237. The next prime is 89869261. The reversal of 89869248 is 84296898.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 89869194 and 89869203.

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 23 ways as a sum of consecutive naturals, for example, 124633 + ... + 125351.

Almost surely, 2^89869248 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 89869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

89869248 is an abundant number, since it is smaller than the sum of its proper divisors (214443072).

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

89869248 is a wasteful number, since it uses less digits than its factorization.

89869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 762 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 89869248 is about 9479.9392403116. The cubic root of 89869248 is about 447.9233499816.

The spelling of 89869248 in words is "eighty-nine million, eight hundred sixty-nine thousand, two hundred forty-eight".