89686752 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 28300800.

The previous prime is 89686741. The next prime is 89686757. The reversal of 89686752 is 25768698.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (1451520) is a multiple of the sum of its prime divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 89686695 and 89686704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89686757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333274 + ... + 333542.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^89686752 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 89686752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

89686752 is an abundant number, since it is smaller than the sum of its proper divisors (158523168).

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

89686752 is a wasteful number, since it uses less digits than its factorization.

89686752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 89686752 is about 9470.3089706725. The cubic root of 89686752 is about 447.6199476639.

The spelling of 89686752 in words is "eighty-nine million, six hundred eighty-six thousand, seven hundred fifty-two".