997637760 has 384 divisors, whose sum is σ = 3990729600. Its totient is φ = 224944128.

The previous prime is 997637759. The next prime is 997637777. The reversal of 997637760 is 67736799.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×997637760² = 1990562200355635200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 997637697 and 997637706.

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 47 ways as a sum of consecutive naturals, for example, 4394767 + ... + 4394993.

It is an arithmetic number, because the mean of its divisors is an integer number (10392525).

Almost surely, 2^997637760 is an apocalyptic number.

997637760 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 997637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995364800).

997637760 is an abundant number, since it is smaller than the sum of its proper divisors (2993091840).

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

997637760 is a wasteful number, since it uses less digits than its factorization.

997637760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 997637760 is about 31585.4042241033. The cubic root of 997637760 is about 999.2119658319.

The spelling of 997637760 in words is "nine hundred ninety-seven million, six hundred thirty-seven thousand, seven hundred sixty".