997140672 has 336 divisors, whose sum is σ = 3405225600. Its totient is φ = 285120000.

The previous prime is 997140659. The next prime is 997140707. The reversal of 997140672 is 276041799.

997140672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×997140672³ (a number of 28 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3972547 + ... + 3972797.

It is an arithmetic number, because the mean of its divisors is an integer number (10134600).

Almost surely, 2^997140672 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 997140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702612800).

997140672 is an abundant number, since it is smaller than the sum of its proper divisors (2408084928).

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

997140672 is a wasteful number, since it uses less digits than its factorization.

997140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 997140672 is about 31577.5342925948. The cubic root of 997140672 is about 999.0459808035.

The spelling of 997140672 in words is "nine hundred ninety-seven million, one hundred forty thousand, six hundred seventy-two".