9759960 has 128 divisors (see below), whose sum is σ = 37209600. Its totient is φ = 2229120.

The previous prime is 9759949. The next prime is 9759961. The reversal of 9759960 is 699579.

9759960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9759961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6915 + ... + 8205.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 2^9759960 is an apocalyptic number.

9759960 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 9759960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604800).

9759960 is an abundant number, since it is smaller than the sum of its proper divisors (27449640).

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

9759960 is a wasteful number, since it uses less digits than its factorization.

9759960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9759960 is about 3124.0934685121. The cubic root of 9759960 is about 213.7056540814.

The spelling of 9759960 in words is "nine million, seven hundred fifty-nine thousand, nine hundred sixty".