89505792 has 90 divisors (see below), whose sum is σ = 258990368. Its totient is φ = 29786112.

The previous prime is 89505791. The next prime is 89505841. The reversal of 89505792 is 29750598.

It is a happy number.

It is a super-2 number, since 2×89505792² = 16022573603094528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89505791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147153 + ... + 147759.

Almost surely, 2^89505792 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 89505792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129495184).

89505792 is an abundant number, since it is smaller than the sum of its proper divisors (169484576).

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

89505792 is an equidigital number, since it uses as much as digits as its factorization.

89505792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 612 counting only the distinct ones).

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

The square root of 89505792 is about 9460.7500759718. The cubic root of 89505792 is about 447.3186922999.

The spelling of 89505792 in words is "eighty-nine million, five hundred five thousand, seven hundred ninety-two".