997109568 has 448 divisors, whose sum is σ = 3830238720. Its totient is φ = 246841344.

The previous prime is 997109557. The next prime is 997109609. The reversal of 997109568 is 865901799.

997109568 is a `hidden beast` number, since 9 + 9 + 71 + 0 + 9 + 568 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2673030 + ... + 2673402.

It is an arithmetic number, because the mean of its divisors is an integer number (8549640).

Almost surely, 2^997109568 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 997109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915119360).

997109568 is an abundant number, since it is smaller than the sum of its proper divisors (2833129152).

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

997109568 is a wasteful number, since it uses less digits than its factorization.

997109568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 997109568 is about 31577.0417867159. The cubic root of 997109568 is about 999.0355928846.

It can be divided in two parts, 99710 and 9568, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 997109568 in words is "nine hundred ninety-seven million, one hundred nine thousand, five hundred sixty-eight".