89145936 has 120 divisors (see below), whose sum is σ = 274607424. Its totient is φ = 26772480.

The previous prime is 89145919. The next prime is 89145937. The reversal of 89145936 is 63954198.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 89145891 and 89145900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89145937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264360 + ... + 264696.

Almost surely, 2^89145936 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 89145936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137303712).

89145936 is an abundant number, since it is smaller than the sum of its proper divisors (185461488).

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

89145936 is a wasteful number, since it uses less digits than its factorization.

89145936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 89145936 is about 9441.7125565228. The cubic root of 89145936 is about 446.7184088966.

The spelling of 89145936 in words is "eighty-nine million, one hundred forty-five thousand, nine hundred thirty-six".