97966944 has 72 divisors (see below), whose sum is σ = 287606592. Its totient is φ = 31599360.

The previous prime is 97966933. The next prime is 97966961. The reversal of 97966944 is 44966979.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3442 + ... + 14414.

It is an arithmetic number, because the mean of its divisors is an integer number (3994536).

Almost surely, 2^97966944 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 97966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143803296).

97966944 is an abundant number, since it is smaller than the sum of its proper divisors (189639648).

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

97966944 is a wasteful number, since it uses less digits than its factorization.

97966944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020 (or 11009 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 97966944 is about 9897.8252156724. The cubic root of 97966944 is about 460.9917857634.

The spelling of 97966944 in words is "ninety-seven million, nine hundred sixty-six thousand, nine hundred forty-four".