971382720 has 448 divisors, whose sum is σ = 4076614656. Its totient is φ = 189726720.

The previous prime is 971382697. The next prime is 971382743. The reversal of 971382720 is 27283179.

It is an interprime number because it is at equal distance from previous prime (971382697) and next prime (971382743).

It is a tau number, because it is divible by the number of its divisors (448).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256254 + ... + 1257026.

Almost surely, 2^971382720 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 971382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038307328).

971382720 is an abundant number, since it is smaller than the sum of its proper divisors (3105231936).

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

971382720 is a wasteful number, since it uses less digits than its factorization.

971382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 971382720 is about 31167.0133314054. The cubic root of 971382720 is about 990.3684375009.

The spelling of 971382720 in words is "nine hundred seventy-one million, three hundred eighty-two thousand, seven hundred twenty".