971679744 has 288 divisors, whose sum is σ = 3403632960. Its totient is φ = 260702208.

The previous prime is 971679743. The next prime is 971679763. The reversal of 971679744 is 447976179.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (971679743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193187 + ... + 2193629.

It is an arithmetic number, because the mean of its divisors is an integer number (11818170).

Almost surely, 2^971679744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701816480).

971679744 is an abundant number, since it is smaller than the sum of its proper divisors (2431953216).

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

971679744 is a wasteful number, since it uses less digits than its factorization.

971679744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 971679744 is about 31171.7780051123. The cubic root of 971679744 is about 990.4693703297.

The spelling of 971679744 in words is "nine hundred seventy-one million, six hundred seventy-nine thousand, seven hundred forty-four".