89895960 has 512 divisors, whose sum is σ = 398131200. Its totient is φ = 17487360.

The previous prime is 89895947. The next prime is 89895979. The reversal of 89895960 is 6959898.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89895897 and 89895906.

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 127 ways as a sum of consecutive naturals, for example, 1912657 + ... + 1912703.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 2^89895960 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 89895960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

89895960 is an abundant number, since it is smaller than the sum of its proper divisors (308235240).

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

89895960 is a wasteful number, since it uses less digits than its factorization.

89895960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 89895960 is about 9481.3480054262. The cubic root of 89895960 is about 447.9677246094.

The spelling of 89895960 in words is "eighty-nine million, eight hundred ninety-five thousand, nine hundred sixty".