997106760 has 288 divisors, whose sum is σ = 3645008640. Its totient is φ = 245037312.

The previous prime is 997106753. The next prime is 997106777. The reversal of 997106760 is 67601799.

997106760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1642377 + ... + 1642983.

It is an arithmetic number, because the mean of its divisors is an integer number (12656280).

Almost surely, 2^997106760 is an apocalyptic number.

997106760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997106760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822504320).

997106760 is an abundant number, since it is smaller than the sum of its proper divisors (2647901880).

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

997106760 is a wasteful number, since it uses less digits than its factorization.

997106760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 997106760 is about 31576.9973240015. The cubic root of 997106760 is about 999.0346550757.

The spelling of 997106760 in words is "nine hundred ninety-seven million, one hundred six thousand, seven hundred sixty".