89786752 has 64 divisors (see below), whose sum is σ = 199805760. Its totient is φ = 39836160.

The previous prime is 89786743. The next prime is 89786759. The reversal of 89786752 is 25768798.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 89786752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89786759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59803 + ... + 61285.

It is an arithmetic number, because the mean of its divisors is an integer number (3121965).

Almost surely, 2^89786752 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 89786752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99902880).

89786752 is an abundant number, since it is smaller than the sum of its proper divisors (110019008).

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

89786752 is a wasteful number, since it uses less digits than its factorization.

89786752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1539 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 52.

The square root of 89786752 is about 9475.5871585881. The cubic root of 89786752 is about 447.7862500726.

Subtracting from 89786752 its sum of digits (52), we obtain a triangular number (89786700 = T₁₃₄₀₀).

The spelling of 89786752 in words is "eighty-nine million, seven hundred eighty-six thousand, seven hundred fifty-two".