997106880 has 672 divisors, whose sum is σ = 4203021312. Its totient is φ = 197836800.

The previous prime is 997106867. The next prime is 997106881. The reversal of 997106880 is 88601799.

It is a happy number.

997106880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (997106881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21215017 + ... + 21215063.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2^997106880 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 997106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101510656).

997106880 is an abundant number, since it is smaller than the sum of its proper divisors (3205914432).

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

997106880 is a wasteful number, since it uses less digits than its factorization.

997106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 997106880 is about 31576.9992241188. Note that the first 3 decimals coincide. The cubic root of 997106880 is about 999.0346951530.

The spelling of 997106880 in words is "nine hundred ninety-seven million, one hundred six thousand, eight hundred eighty".