97560480 has 96 divisors (see below), whose sum is σ = 320713344. Its totient is φ = 24882176.

The previous prime is 97560473. The next prime is 97560487. The reversal of 97560480 is 8406579.

It is an interprime number because it is at equal distance from previous prime (97560473) and next prime (97560487).

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

It is not an unprimeable number, because it can be changed into a prime (97560487) 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, 6622 + ... + 15458.

It is an arithmetic number, because the mean of its divisors is an integer number (3340764).

Almost surely, 2^97560480 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 97560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160356672).

97560480 is an abundant number, since it is smaller than the sum of its proper divisors (223152864).

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

97560480 is a wasteful number, since it uses less digits than its factorization.

97560480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 97560480 is about 9877.2708781323. The cubic root of 97560480 is about 460.3533516897.

The spelling of 97560480 in words is "ninety-seven million, five hundred sixty thousand, four hundred eighty".