971430768 has 240 divisors, whose sum is σ = 3435494400. Its totient is φ = 248901120.

The previous prime is 971430767. The next prime is 971430773. The reversal of 971430768 is 867034179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971430767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875398 + ... + 876506.

It is an arithmetic number, because the mean of its divisors is an integer number (14314560).

Almost surely, 2^971430768 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 971430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717747200).

971430768 is an abundant number, since it is smaller than the sum of its proper divisors (2464063632).

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

971430768 is a wasteful number, since it uses less digits than its factorization.

971430768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 971430768 is about 31167.7841368295. The cubic root of 971430768 is about 990.3847662651.

The spelling of 971430768 in words is "nine hundred seventy-one million, four hundred thirty thousand, seven hundred sixty-eight".