97810960 has 40 divisors (see below), whose sum is σ = 244906200. Its totient is φ = 36114432.

The previous prime is 97810957. The next prime is 97810961. The reversal of 97810960 is 6901879.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 81938704 = 3984^2 + 9052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×97810960² = 19133967792243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (97810961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45985 + ... + 48064.

It is an arithmetic number, because the mean of its divisors is an integer number (6122655).

Almost surely, 2^97810960 is an apocalyptic number.

It is an amenable number.

97810960 is an abundant number, since it is smaller than the sum of its proper divisors (147095240).

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

97810960 is a wasteful number, since it uses less digits than its factorization.

97810960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94075 (or 94069 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 97810960 is about 9889.9423658584. The cubic root of 97810960 is about 460.7469904701.

The spelling of 97810960 in words is "ninety-seven million, eight hundred ten thousand, nine hundred sixty".