9297106560 has 512 divisors, whose sum is σ = 38053670400. Its totient is φ = 2101248000.

The previous prime is 9297106493. The next prime is 9297106561. The reversal of 9297106560 is 656017929.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9297106561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12216580 + ... + 12217340.

It is an arithmetic number, because the mean of its divisors is an integer number (74323575).

Almost surely, 2^9297106560 is an apocalyptic number.

9297106560 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 9297106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026835200).

9297106560 is an abundant number, since it is smaller than the sum of its proper divisors (28756563840).

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

9297106560 is a wasteful number, since it uses less digits than its factorization.

9297106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 9297106560 is about 96421.5046553413. The cubic root of 9297106560 is about 2102.7256037477.

The spelling of 9297106560 in words is "nine billion, two hundred ninety-seven million, one hundred six thousand, five hundred sixty".