9714960 has 120 divisors (see below), whose sum is σ = 33194304. Its totient is φ = 2545920.

The previous prime is 9714941. The next prime is 9714961. The reversal of 9714960 is 694179.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9714961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74095 + ... + 74225.

Almost surely, 2^9714960 is an apocalyptic number.

9714960 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 9714960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597152).

9714960 is an abundant number, since it is smaller than the sum of its proper divisors (23479344).

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

9714960 is a wasteful number, since it uses less digits than its factorization.

9714960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9714960 is about 3116.8830584416. The cubic root of 9714960 is about 213.3767055912.

The spelling of 9714960 in words is "nine million, seven hundred fourteen thousand, nine hundred sixty".