97660416 has 160 divisors (see below), whose sum is σ = 307980288. Its totient is φ = 26910720.

The previous prime is 97660351. The next prime is 97660417. The reversal of 97660416 is 61406679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97660417) 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, 333166 + ... + 333458.

Almost surely, 2^97660416 is an apocalyptic number.

97660416 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 97660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153990144).

97660416 is an abundant number, since it is smaller than the sum of its proper divisors (210319872).

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

97660416 is a wasteful number, since it uses less digits than its factorization.

97660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 97660416 is about 9882.3284705579. The cubic root of 97660416 is about 460.5104855784.

The spelling of 97660416 in words is "ninety-seven million, six hundred sixty thousand, four hundred sixteen".