89957952 has 280 divisors, whose sum is σ = 317666624. Its totient is φ = 24634368.

The previous prime is 89957921. The next prime is 89957957. The reversal of 89957952 is 25975998.

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

Its product of digits (2041200) is a multiple of the sum of its prime factors (135).

It is not an unprimeable number, because it can be changed into a prime (89957957) 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 39 ways as a sum of consecutive naturals, for example, 1342623 + ... + 1342689.

Almost surely, 2^89957952 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 89957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158833312).

89957952 is an abundant number, since it is smaller than the sum of its proper divisors (227708672).

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

89957952 is a wasteful number, since it uses less digits than its factorization.

89957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The square root of 89957952 is about 9484.6165974171. The cubic root of 89957952 is about 448.0706733743.

It can be divided in two parts, 89957 and 952, that added together give a palindrome (90909).

The spelling of 89957952 in words is "eighty-nine million, nine hundred fifty-seven thousand, nine hundred fifty-two".