997061760 has 384 divisors, whose sum is σ = 3666124800. Its totient is φ = 249274368.

The previous prime is 997061743. The next prime is 997061771. The reversal of 997061760 is 67160799.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7850817 + ... + 7850943.

It is an arithmetic number, because the mean of its divisors is an integer number (9547200).

Almost surely, 2^997061760 is an apocalyptic number.

997061760 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 997061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833062400).

997061760 is an abundant number, since it is smaller than the sum of its proper divisors (2669063040).

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

997061760 is a wasteful number, since it uses less digits than its factorization.

997061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

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

The square root of 997061760 is about 31576.2847719614. The cubic root of 997061760 is about 999.0196258473.

The spelling of 997061760 in words is "nine hundred ninety-seven million, sixty-one thousand, seven hundred sixty".