97680000 has 320 divisors, whose sum is σ = 363258720. Its totient is φ = 23040000.

The previous prime is 97679993. The next prime is 97680001. The reversal of 97680000 is 8679.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 97680000.

It is not an unprimeable number, because it can be changed into a prime (97680001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2639982 + ... + 2640018.

Almost surely, 2^97680000 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 97680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181629360).

97680000 is an abundant number, since it is smaller than the sum of its proper divisors (265578720).

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

97680000 is a wasteful number, since it uses less digits than its factorization.

97680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 97680000 is about 9883.3192804847. The cubic root of 97680000 is about 460.5412658233.

Adding to 97680000 its reverse (8679), we get a palindrome (97688679).

The spelling of 97680000 in words is "ninety-seven million, six hundred eighty thousand".