97860960 has 168 divisors, whose sum is σ = 347049360. Its totient is φ = 26065152.

The previous prime is 97860947. The next prime is 97860977. The reversal of 97860960 is 6906879.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116221 + ... + 117059.

It is an arithmetic number, because the mean of its divisors is an integer number (2065770).

Almost surely, 2^97860960 is an apocalyptic number.

97860960 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 97860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173524680).

97860960 is an abundant number, since it is smaller than the sum of its proper divisors (249188400).

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

97860960 is an equidigital number, since it uses as much as digits as its factorization.

97860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 97860960 is about 9892.4698634871. The cubic root of 97860960 is about 460.8254868715.

The spelling of 97860960 in words is "ninety-seven million, eight hundred sixty thousand, nine hundred sixty".