97984656 has 120 divisors (see below), whose sum is σ = 341924544. Its totient is φ = 25447680.

The previous prime is 97984643. The next prime is 97984661. The reversal of 97984656 is 65648979.

97984656 is a `hidden beast` number, since 97 + 98 + 465 + 6 = 666.

It is a super-2 number, since 2×97984656² = 19201985622876672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6670 + ... + 15506.

Almost surely, 2^97984656 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 97984656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170962272).

97984656 is an abundant number, since it is smaller than the sum of its proper divisors (243939888).

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

97984656 is a wasteful number, since it uses less digits than its factorization.

97984656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8860 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 97984656 is about 9898.7199172418. The cubic root of 97984656 is about 461.0195658634.

The spelling of 97984656 in words is "ninety-seven million, nine hundred eighty-four thousand, six hundred fifty-six".