89996960 has 48 divisors (see below), whose sum is σ = 216126792. Its totient is φ = 35404800.

The previous prime is 89996923. The next prime is 89996981. The reversal of 89996960 is 6969998.

It can be written as a sum of positive squares in 4 ways, for example, as 67831696 + 22165264 = 8236^2 + 4708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 89996896 and 89996905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5150 + ... + 14370.

Almost surely, 2^89996960 is an apocalyptic number.

89996960 is a gapful number since it is divisible by the number (80) 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 89996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108063396).

89996960 is an abundant number, since it is smaller than the sum of its proper divisors (126129832).

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

89996960 is a wasteful number, since it uses less digits than its factorization.

89996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9297 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 56.

The square root of 89996960 is about 9486.6727570840. The cubic root of 89996960 is about 448.1354288691.

The spelling of 89996960 in words is "eighty-nine million, nine hundred ninety-six thousand, nine hundred sixty".