971201606760 has 2304 divisors, whose sum is σ = 4570785676800. Its totient is φ = 178900254720.

The previous prime is 971201606717. The next prime is 971201606801. The reversal of 971201606760 is 67606102179.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5613882034 + ... + 5613882206.

It is an arithmetic number, because the mean of its divisors is an integer number (1983847950).

Almost surely, 2^971201606760 is an apocalyptic number.

971201606760 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 971201606760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285392838400).

971201606760 is an abundant number, since it is smaller than the sum of its proper divisors (3599584070040).

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

971201606760 is a wasteful number, since it uses less digits than its factorization.

971201606760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 971201606760 in words is "nine hundred seventy-one billion, two hundred one million, six hundred six thousand, seven hundred sixty".