97560 has 48 divisors (see below), whose sum is σ = 318240. Its totient is φ = 25920.

The previous prime is 97553. The next prime is 97561. The reversal of 97560 is 6579.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97560.

It is not an unprimeable number, because it can be changed into a prime (97561) by changing a digit.

97560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

2⁹⁷⁵⁶⁰ is an apocalyptic number.

97560 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 97560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120).

97560 is an abundant number, since it is smaller than the sum of its proper divisors (220680).

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

97560 is a wasteful number, since it uses less digits than its factorization.

97560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 97560 is about 312.3459620357. The cubic root of 97560 is about 46.0352596705.

It can be divided in two parts, 975 and 60, that added together give a triangular number (1035 = T₄₅).

The spelling of 97560 in words is "ninety-seven thousand, five hundred sixty".