997310880 has 288 divisors, whose sum is σ = 3576291264. Its totient is φ = 262434816.

The previous prime is 997310863. The next prime is 997310887. The reversal of 997310880 is 88013799.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×997310880³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997310887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4393327 + ... + 4393553.

It is an arithmetic number, because the mean of its divisors is an integer number (12417678).

Almost surely, 2^997310880 is an apocalyptic number.

997310880 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 997310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788145632).

997310880 is an abundant number, since it is smaller than the sum of its proper divisors (2578980384).

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

997310880 is a wasteful number, since it uses less digits than its factorization.

997310880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 997310880 is about 31580.2292581925. The cubic root of 997310880 is about 999.1028219790.

The spelling of 997310880 in words is "nine hundred ninety-seven million, three hundred ten thousand, eight hundred eighty".