90322364160 has 864 divisors, whose sum is σ = 379269596160. Its totient is φ = 19386335232.

The previous prime is 90322364147. The next prime is 90322364161. The reversal of 90322364160 is 6146322309.

90322364160 is a `hidden beast` number, since 9 + 0 + 3 + 2 + 2 + 3 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90322364161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255870544 + ... + 255870896.

It is an arithmetic number, because the mean of its divisors is an integer number (438969440).

Almost surely, 2^90322364160 is an apocalyptic number.

90322364160 is a gapful number since it is divisible by the number (90) 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 90322364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189634798080).

90322364160 is an abundant number, since it is smaller than the sum of its proper divisors (288947232000).

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

90322364160 is a wasteful number, since it uses less digits than its factorization.

90322364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 90322364160 its reverse (6146322309), we get a palindrome (96468686469).

The spelling of 90322364160 in words is "ninety billion, three hundred twenty-two million, three hundred sixty-four thousand, one hundred sixty".