971339040 has 576 divisors, whose sum is σ = 4068320256. Its totient is φ = 214244352.

The previous prime is 971339011. The next prime is 971339041. The reversal of 971339040 is 40933179.

971339040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 971338986 and 971339004.

It is not an unprimeable number, because it can be changed into a prime (971339041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11702839 + ... + 11702921.

It is an arithmetic number, because the mean of its divisors is an integer number (7063056).

Almost surely, 2^971339040 is an apocalyptic number.

971339040 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 971339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034160128).

971339040 is an abundant number, since it is smaller than the sum of its proper divisors (3096981216).

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

971339040 is a wasteful number, since it uses less digits than its factorization.

971339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 971339040 is about 31166.3125826589. The cubic root of 971339040 is about 990.3535927025.

The spelling of 971339040 in words is "nine hundred seventy-one million, three hundred thirty-nine thousand, forty".