971055360 has 432 divisors, whose sum is σ = 3749840640. Its totient is φ = 230031360.

The previous prime is 971055359. The next prime is 971055361. The reversal of 971055360 is 63550179.

It is a happy number.

971055360 is a `hidden beast` number, since 97 + 10 + 553 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (971055359) and next prime (971055361).

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

It is not an unprimeable number, because it can be changed into a prime (971055361) 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, 10010832 + ... + 10010928.

Almost surely, 2^971055360 is an apocalyptic number.

971055360 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 971055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874920320).

971055360 is an abundant number, since it is smaller than the sum of its proper divisors (2778785280).

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

971055360 is a wasteful number, since it uses less digits than its factorization.

971055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 971055360 is about 31161.7611825776. The cubic root of 971055360 is about 990.2571722458.

The spelling of 971055360 in words is "nine hundred seventy-one million, fifty-five thousand, three hundred sixty".