89952768 has 140 divisors (see below), whose sum is σ = 270589638. Its totient is φ = 29859840.

The previous prime is 89952767. The next prime is 89952769. The reversal of 89952768 is 86725998.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89952767) and next prime (89952769).

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 22581504 = 8208^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89952767) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373128 + ... + 373368.

Almost surely, 2^89952768 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 89952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135294819).

89952768 is an abundant number, since it is smaller than the sum of its proper divisors (180636870).

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

89952768 is an frugal number, since it uses more digits than its factorization.

89952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 89952768 is about 9484.3433088433. The cubic root of 89952768 is about 448.0620662308.

The spelling of 89952768 in words is "eighty-nine million, nine hundred fifty-two thousand, seven hundred sixty-eight".