89895060 has 72 divisors (see below), whose sum is σ = 274504776. Its totient is φ = 23811840.

The previous prime is 89895019. The next prime is 89895077. The reversal of 89895060 is 6059898.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 89756676 = 372^2 + 9474^2 .

It is a super-2 number, since 2×89895060² = 16162243624807200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 89894997 and 89895015.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26670 + ... + 29850.

Almost surely, 2^89895060 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 89895060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137252388).

89895060 is an abundant number, since it is smaller than the sum of its proper divisors (184609716).

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

89895060 is a wasteful number, since it uses less digits than its factorization.

89895060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 89895060 is about 9481.3005437018. The cubic root of 89895060 is about 447.9662296505.

The spelling of 89895060 in words is "eighty-nine million, eight hundred ninety-five thousand, sixty".