997506720 has 432 divisors, whose sum is σ = 4037892768. Its totient is φ = 223534080.

The previous prime is 997506703. The next prime is 997506767. The reversal of 997506720 is 27605799.

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

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 71 ways as a sum of consecutive naturals, for example, 4727415 + ... + 4727625.

It is an arithmetic number, because the mean of its divisors is an integer number (9346974).

Almost surely, 2^997506720 is an apocalyptic number.

997506720 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 997506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018946384).

997506720 is an abundant number, since it is smaller than the sum of its proper divisors (3040386048).

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

997506720 is a wasteful number, since it uses less digits than its factorization.

997506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 997506720 is about 31583.3297801229. The cubic root of 997506720 is about 999.1682149922.

The spelling of 997506720 in words is "nine hundred ninety-seven million, five hundred six thousand, seven hundred twenty".