89628696 has 96 divisors (see below), whose sum is σ = 250192800. Its totient is φ = 28976640.

The previous prime is 89628691. The next prime is 89628751. The reversal of 89628696 is 69682698.

89628696 is a `hidden beast` number, since 8 + 9 + 628 + 6 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89628691) 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 23 ways as a sum of consecutive naturals, for example, 454870 + ... + 455066.

It is an arithmetic number, because the mean of its divisors is an integer number (2606175).

Almost surely, 2^89628696 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 89628696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125096400).

89628696 is an abundant number, since it is smaller than the sum of its proper divisors (160564104).

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

89628696 is a wasteful number, since it uses less digits than its factorization.

89628696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 89628696 is about 9467.2433157704. The cubic root of 89628696 is about 447.5233424150.

It can be divided in two parts, 896 and 28696, that added together give a palindrome (29592).

The spelling of 89628696 in words is "eighty-nine million, six hundred twenty-eight thousand, six hundred ninety-six".