997668672 has 448 divisors, whose sum is σ = 3686860800. Its totient is φ = 229662720.

The previous prime is 997668653. The next prime is 997668697. The reversal of 997668672 is 276866799.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5573479 + ... + 5573657.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2^997668672 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 997668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

997668672 is an abundant number, since it is smaller than the sum of its proper divisors (2689192128).

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

997668672 is a wasteful number, since it uses less digits than its factorization.

997668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 60.

The square root of 997668672 is about 31585.8935602588. The cubic root of 997668672 is about 999.2222859844. Note that the first 4 decimals are identical.

The spelling of 997668672 in words is "nine hundred ninety-seven million, six hundred sixty-eight thousand, six hundred seventy-two".