89540968 has 48 divisors (see below), whose sum is σ = 185798340. Its totient is φ = 40423680.

The previous prime is 89540963. The next prime is 89541013. The reversal of 89540968 is 86904598.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89075844 + 465124 = 9438^2 + 682^2 .

It is not an unprimeable number, because it can be changed into a prime (89540963) 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, 225346 + ... + 225742.

Almost surely, 2^89540968 is an apocalyptic number.

89540968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89540968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92899170).

89540968 is an abundant number, since it is smaller than the sum of its proper divisors (96257372).

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

89540968 is a wasteful number, since it uses less digits than its factorization.

89540968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 89540968 is about 9462.6089425697. The cubic root of 89540968 is about 447.3772837465.

The spelling of 89540968 in words is "eighty-nine million, five hundred forty thousand, nine hundred sixty-eight".