9545760 has 144 divisors (see below), whose sum is σ = 37267776. Its totient is φ = 2179584.

The previous prime is 9545719. The next prime is 9545773. The reversal of 9545760 is 675459.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9545760² = 182243067955200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9607 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (258804).

Almost surely, 2^9545760 is an apocalyptic number.

9545760 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 9545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633888).

9545760 is an abundant number, since it is smaller than the sum of its proper divisors (27722016).

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

9545760 is a wasteful number, since it uses less digits than its factorization.

9545760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 9545760 is about 3089.6213360216. The cubic root of 9545760 is about 212.1306895621.

It can be divided in two parts, 95457 and 60, that multiplied together give a triangular number (5727420 = T₃₃₈₄).

The spelling of 9545760 in words is "nine million, five hundred forty-five thousand, seven hundred sixty".