89453952 has 96 divisors (see below), whose sum is σ = 294212880. Its totient is φ = 25555968.

The previous prime is 89453939. The next prime is 89453953. The reversal of 89453952 is 25935498.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 89453898 and 89453907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89453953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2518 + ... + 13610.

Almost surely, 2^89453952 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 89453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147106440).

89453952 is an abundant number, since it is smaller than the sum of its proper divisors (204758928).

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

89453952 is a wasteful number, since it uses less digits than its factorization.

89453952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11120 (or 11105 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 89453952 is about 9458.0099386710. The cubic root of 89453952 is about 447.2323162163.

The spelling of 89453952 in words is "eighty-nine million, four hundred fifty-three thousand, nine hundred fifty-two".