97672896 has 84 divisors (see below), whose sum is σ = 287590992. Its totient is φ = 31670784.

The previous prime is 97672877. The next prime is 97672903. The reversal of 97672896 is 69827679.

It is a super-3 number, since 3×97672896³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19021 + ... + 23603.

Almost surely, 2^97672896 is an apocalyptic number.

97672896 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 97672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143795496).

97672896 is an abundant number, since it is smaller than the sum of its proper divisors (189918096).

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

97672896 is a wasteful number, since it uses less digits than its factorization.

97672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4625 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 97672896 is about 9882.9598805216. The cubic root of 97672896 is about 460.5301009159.

The spelling of 97672896 in words is "ninety-seven million, six hundred seventy-two thousand, eight hundred ninety-six".