89760528 has 160 divisors (see below), whose sum is σ = 302897280. Its totient is φ = 25090560.

The previous prime is 89760499. The next prime is 89760529. The reversal of 89760528 is 82506798.

It is not an unprimeable number, because it can be changed into a prime (89760529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61050 + ... + 62502.

It is an arithmetic number, because the mean of its divisors is an integer number (1893108).

Almost surely, 2^89760528 is an apocalyptic number.

89760528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89760528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151448640).

89760528 is an abundant number, since it is smaller than the sum of its proper divisors (213136752).

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

89760528 is a wasteful number, since it uses less digits than its factorization.

89760528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 89760528 is about 9474.2032910425. The cubic root of 89760528 is about 447.7426508786.

It can be divided in two parts, 897 and 60528, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 89760528 in words is "eighty-nine million, seven hundred sixty thousand, five hundred twenty-eight".