9078131160 has 128 divisors (see below), whose sum is σ = 34583385600. Its totient is φ = 2074999680.

The previous prime is 9078131149. The next prime is 9078131173. The reversal of 9078131160 is 611318709.

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 31 ways as a sum of consecutive naturals, for example, 592846 + ... + 607965.

It is an arithmetic number, because the mean of its divisors is an integer number (270182700).

Almost surely, 2^9078131160 is an apocalyptic number.

9078131160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9078131160 is an abundant number, since it is smaller than the sum of its proper divisors (25505254440).

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

9078131160 is a wasteful number, since it uses less digits than its factorization.

9078131160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200838 (or 1200828 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9078131160 is about 95279.2273268418. The cubic root of 9078131160 is about 2086.0857240613.

Adding to 9078131160 its reverse (611318709), we get a palindrome (9689449869).

It can be divided in two parts, 90 and 78131160, that added together give a triangular number (78131250 = T₁₂₅₀₀).

The spelling of 9078131160 in words is "nine billion, seventy-eight million, one hundred thirty-one thousand, one hundred sixty".