89748576 has 144 divisors (see below), whose sum is σ = 282338784. Its totient is φ = 26898432.

The previous prime is 89748539. The next prime is 89748583. The reversal of 89748576 is 67584798.

89748576 = 190³ + 191³ + ... + 201³.

89748576 is a `hidden beast` number, since 8 + 97 + 485 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 112210 + ... + 113006.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 2^89748576 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 89748576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

89748576 is an abundant number, since it is smaller than the sum of its proper divisors (192590208).

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

89748576 is a wasteful number, since it uses less digits than its factorization.

89748576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 842 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 89748576 is about 9473.5725046046. The cubic root of 89748576 is about 447.7227770439.

The spelling of 89748576 in words is "eighty-nine million, seven hundred forty-eight thousand, five hundred seventy-six".