97684128 has 72 divisors (see below), whose sum is σ = 289886688. Its totient is φ = 31143552.

The previous prime is 97684123. The next prime is 97684129. The reversal of 97684128 is 82148679.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (97684121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 750 + ... + 13997.

It is an arithmetic number, because the mean of its divisors is an integer number (4026204).

Almost surely, 2^97684128 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 97684128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144943344).

97684128 is an abundant number, since it is smaller than the sum of its proper divisors (192202560).

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

97684128 is a wasteful number, since it uses less digits than its factorization.

97684128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14786 (or 14775 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 97684128 is about 9883.5281150002. The cubic root of 97684128 is about 460.5477532911.

It can be divided in two parts, 9768 and 4128, that multiplied together give a palindrome (40322304).

The spelling of 97684128 in words is "ninety-seven million, six hundred eighty-four thousand, one hundred twenty-eight".