971488080 has 100 divisors (see below), whose sum is σ = 3374144532. Its totient is φ = 259061760.

The previous prime is 971488051. The next prime is 971488109. The reversal of 971488080 is 80884179.

971488080 is a `hidden beast` number, since 97 + 1 + 488 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (971488051) and next prime (971488109).

It can be written as a sum of positive squares in 2 ways, for example, as 438986304 + 532501776 = 20952^2 + 23076^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68481 + ... + 81440.

Almost surely, 2^971488080 is an apocalyptic number.

971488080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

971488080 is an abundant number, since it is smaller than the sum of its proper divisors (2402656452).

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

971488080 is a wasteful number, since it uses less digits than its factorization.

971488080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149946 (or 149931 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 971488080 is about 31168.7035341543. The cubic root of 971488080 is about 990.4042426283.

The spelling of 971488080 in words is "nine hundred seventy-one million, four hundred eighty-eight thousand, eighty".