90351360 has 432 divisors, whose sum is σ = 367331328. Its totient is φ = 20275200.

The previous prime is 90351347. The next prime is 90351397. The reversal of 90351360 is 6315309.

90351360 is a `hidden beast` number, since 90 + 3 + 513 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2914545 + ... + 2914575.

It is an arithmetic number, because the mean of its divisors is an integer number (850304).

Almost surely, 2^90351360 is an apocalyptic number.

90351360 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 90351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664).

90351360 is an abundant number, since it is smaller than the sum of its proper divisors (276979968).

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

90351360 is a wasteful number, since it uses less digits than its factorization.

90351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 90351360 is about 9505.3332398186. Note that the first 3 decimals coincide. The cubic root of 90351360 is about 448.7228975234.

Adding to 90351360 its reverse (6315309), we get a palindrome (96666669).

The spelling of 90351360 in words is "ninety million, three hundred fifty-one thousand, three hundred sixty".