89952576 has 224 divisors, whose sum is σ = 299630592. Its totient is φ = 23224320.

The previous prime is 89952553. The next prime is 89952589. The reversal of 89952576 is 67525998.

It is a happy number.

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

It is a super-4 number, since 4×89952576⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708225 + ... + 708351.

Almost surely, 2^89952576 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 89952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149815296).

89952576 is an abundant number, since it is smaller than the sum of its proper divisors (209678016).

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

89952576 is a wasteful number, since it uses less digits than its factorization.

89952576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 89952576 is about 9484.3331868930. Note that the first 3 decimals coincide. The cubic root of 89952576 is about 448.0617474414.

The spelling of 89952576 in words is "eighty-nine million, nine hundred fifty-two thousand, five hundred seventy-six".