9090315360 has 216 divisors, whose sum is σ = 36085585536. Its totient is φ = 2077770240.

The previous prime is 9090315337. The next prime is 9090315413. The reversal of 9090315360 is 635130909.

9090315360 is a `hidden beast` number, since 9 + 0 + 90 + 31 + 536 + 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6145 + ... + 134975.

It is an arithmetic number, because the mean of its divisors is an integer number (167062896).

Almost surely, 2^9090315360 is an apocalyptic number.

9090315360 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 9090315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042792768).

9090315360 is an abundant number, since it is smaller than the sum of its proper divisors (26995270176).

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

9090315360 is a wasteful number, since it uses less digits than its factorization.

9090315360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128866 (or 128848 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 9090315360 is about 95343.1453225663. The cubic root of 9090315360 is about 2087.0185857720.

The spelling of 9090315360 in words is "nine billion, ninety million, three hundred fifteen thousand, three hundred sixty".