9285690960 has 960 divisors, whose sum is σ = 41402350080. Its totient is φ = 1881169920.

The previous prime is 9285690941. The next prime is 9285690961. The reversal of 9285690960 is 690965829.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9285690897 and 9285690906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9285690961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51302070 + ... + 51302250.

It is an arithmetic number, because the mean of its divisors is an integer number (43127448).

Almost surely, 2^9285690960 is an apocalyptic number.

9285690960 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 9285690960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701175040).

9285690960 is an abundant number, since it is smaller than the sum of its proper divisors (32116659120).

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

9285690960 is a wasteful number, since it uses less digits than its factorization.

9285690960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9285690960 is about 96362.2901346787. The cubic root of 9285690960 is about 2101.8646295845.

The spelling of 9285690960 in words is "nine billion, two hundred eighty-five million, six hundred ninety thousand, nine hundred sixty".