89319552 has 192 divisors, whose sum is σ = 284653440. Its totient is φ = 24729600.

The previous prime is 89319539. The next prime is 89319577. The reversal of 89319552 is 25591398.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×89319552³ (a number of 25 digits) contains 333 as substring.

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

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, 884302 + ... + 884402.

It is an arithmetic number, because the mean of its divisors is an integer number (1482570).

Almost surely, 2^89319552 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 89319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142326720).

89319552 is an abundant number, since it is smaller than the sum of its proper divisors (195333888).

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

89319552 is a wasteful number, since it uses less digits than its factorization.

89319552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 89319552 is about 9450.9021791573. The cubic root of 89319552 is about 447.0082227016.

The spelling of 89319552 in words is "eighty-nine million, three hundred nineteen thousand, five hundred fifty-two".