971470080 has 324 divisors, whose sum is σ = 3912222132. Its totient is φ = 221921280.

The previous prime is 971470063. The next prime is 971470091. The reversal of 971470080 is 80074179.

971470080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 537497856 + 433972224 = 23184^2 + 20832^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563620 + ... + 565340.

Almost surely, 2^971470080 is an apocalyptic number.

971470080 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 971470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956111066).

971470080 is an abundant number, since it is smaller than the sum of its proper divisors (2940752052).

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

971470080 is a wasteful number, since it uses less digits than its factorization.

971470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 971470080 is about 31168.4147816343. The cubic root of 971470080 is about 990.3981257626.

The spelling of 971470080 in words is "nine hundred seventy-one million, four hundred seventy thousand, eighty".