997760160 has 192 divisors, whose sum is σ = 3542434560. Its totient is φ = 262241280.

The previous prime is 997760149. The next prime is 997760161. The reversal of 997760160 is 61067799.

997760160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (997760161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305094 + ... + 308346.

It is an arithmetic number, because the mean of its divisors is an integer number (18450180).

Almost surely, 2^997760160 is an apocalyptic number.

997760160 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 997760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771217280).

997760160 is an abundant number, since it is smaller than the sum of its proper divisors (2544674400).

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

997760160 is a wasteful number, since it uses less digits than its factorization.

997760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3334 counting only the distinct ones).

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

The square root of 997760160 is about 31587.3417684996. The cubic root of 997760160 is about 999.2528285405.

The spelling of 997760160 in words is "nine hundred ninety-seven million, seven hundred sixty thousand, one hundred sixty".