971121360 has 80 divisors (see below), whose sum is σ = 3284164800. Its totient is φ = 235422720.

The previous prime is 971121337. The next prime is 971121377. The reversal of 971121360 is 63121179.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 181285 + ... + 186564.

It is an arithmetic number, because the mean of its divisors is an integer number (41052060).

Almost surely, 2^971121360 is an apocalyptic number.

It is an amenable number.

971121360 is an abundant number, since it is smaller than the sum of its proper divisors (2313043440).

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

971121360 is a wasteful number, since it uses less digits than its factorization.

971121360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367876 (or 367870 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 971121360 is about 31162.8201547934. The cubic root of 971121360 is about 990.2796067693.

The spelling of 971121360 in words is "nine hundred seventy-one million, one hundred twenty-one thousand, three hundred sixty".