971817120 has 288 divisors, whose sum is σ = 3447505152. Its totient is φ = 249133056.

The previous prime is 971817113. The next prime is 971817139. The reversal of 971817120 is 21718179.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5617354 + ... + 5617526.

It is an arithmetic number, because the mean of its divisors is an integer number (11970504).

Almost surely, 2^971817120 is an apocalyptic number.

971817120 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 971817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723752576).

971817120 is an abundant number, since it is smaller than the sum of its proper divisors (2475688032).

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

971817120 is a wasteful number, since it uses less digits than its factorization.

971817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 971817120 is about 31173.9814589026. The cubic root of 971817120 is about 990.5160456220.

The spelling of 971817120 in words is "nine hundred seventy-one million, eight hundred seventeen thousand, one hundred twenty".