971806680 has 256 divisors, whose sum is σ = 3673152000. Its totient is φ = 226561536.

The previous prime is 971806673. The next prime is 971806681. The reversal of 971806680 is 86608179.

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 not an unprimeable number, because it can be changed into a prime (971806681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264939 + ... + 268581.

It is an arithmetic number, because the mean of its divisors is an integer number (14348250).

Almost surely, 2^971806680 is an apocalyptic number.

971806680 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 971806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836576000).

971806680 is an abundant number, since it is smaller than the sum of its proper divisors (2701345320).

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

971806680 is a wasteful number, since it uses less digits than its factorization.

971806680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 971806680 is about 31173.8140111216. The cubic root of 971806680 is about 990.5124986499.

The spelling of 971806680 in words is "nine hundred seventy-one million, eight hundred six thousand, six hundred eighty".