97007680 has 224 divisors, whose sum is σ = 299630592. Its totient is φ = 29030400.

The previous prime is 97007641. The next prime is 97007689. The reversal of 97007680 is 8670079.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97007689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763777 + ... + 763903.

Almost surely, 2^97007680 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 97007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149815296).

97007680 is an abundant number, since it is smaller than the sum of its proper divisors (202622912).

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

97007680 is a wasteful number, since it uses less digits than its factorization.

97007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 97007680 is about 9849.2476870064. The cubic root of 97007680 is about 459.4822151216.

The spelling of 97007680 in words is "ninety-seven million, seven thousand, six hundred eighty".