90018600960 has 384 divisors, whose sum is σ = 295068795840. Its totient is φ = 23423090688.

The previous prime is 90018600943. The next prime is 90018600967. The reversal of 90018600960 is 6900681009.

It is a Cunningham number, because it is equal to 300031²-1.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90018600967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307230574 + ... + 307230866.

Almost surely, 2^90018600960 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 90018600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147534397920).

90018600960 is an abundant number, since it is smaller than the sum of its proper divisors (205050194880).

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

90018600960 is a wasteful number, since it uses less digits than its factorization.

90018600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 90018600960 in words is "ninety billion, eighteen million, six hundred thousand, nine hundred sixty".