89057952 has 72 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 29512320.

The previous prime is 89057933. The next prime is 89057957. The reversal of 89057952 is 25975098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 89057898 and 89057907.

It is not an unprimeable number, because it can be changed into a prime (89057957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54199 + ... + 55817.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^89057952 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 89057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

89057952 is an abundant number, since it is smaller than the sum of its proper divisors (165683808).

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

89057952 is a wasteful number, since it uses less digits than its factorization.

89057952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 89057952 is about 9437.0520820858. The cubic root of 89057952 is about 446.5713952396.

It can be divided in two parts, 89057 and 952, that added together give a palindrome (90009).

The spelling of 89057952 in words is "eighty-nine million, fifty-seven thousand, nine hundred fifty-two".