97907616 has 96 divisors (see below), whose sum is σ = 289296000. Its totient is φ = 32612544.

The previous prime is 97907611. The next prime is 97907617. The reversal of 97907616 is 61670979.

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 (97907611) 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, 69285 + ... + 70683.

It is an arithmetic number, because the mean of its divisors is an integer number (3013500).

Almost surely, 2^97907616 is an apocalyptic number.

97907616 is a gapful number since it is divisible by the number (96) 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 97907616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144648000).

97907616 is an abundant number, since it is smaller than the sum of its proper divisors (191388384).

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

97907616 is an equidigital number, since it uses as much as digits as its factorization.

97907616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 97907616 is about 9894.8277397841. The cubic root of 97907616 is about 460.8987093224.

The spelling of 97907616 in words is "ninety-seven million, nine hundred seven thousand, six hundred sixteen".