9752160 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 2362880.

The previous prime is 9752153. The next prime is 9752167. The reversal of 9752160 is 612579.

It is an interprime number because it is at equal distance from previous prime (9752153) and next prime (9752167).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9752167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4357 + ... + 6203.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 2^9752160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

9752160 is an abundant number, since it is smaller than the sum of its proper divisors (23777952).

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

9752160 is a wasteful number, since it uses less digits than its factorization.

9752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 9752160 is about 3122.8448568573. The cubic root of 9752160 is about 213.6487088906.

The spelling of 9752160 in words is "nine million, seven hundred fifty-two thousand, one hundred sixty".