971760 has 40 divisors (see below), whose sum is σ = 3013200. Its totient is φ = 259072.

The previous prime is 971759. The next prime is 971767. The reversal of 971760 is 67179.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1785 + ... + 2264.

It is an arithmetic number, because the mean of its divisors is an integer number (75330).

2⁹⁷¹⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

971760 is an abundant number, since it is smaller than the sum of its proper divisors (2041440).

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

971760 is a wasteful number, since it uses less digits than its factorization.

971760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 971760 is about 985.7788798711. The cubic root of 971760 is about 99.0496638889.

The spelling of 971760 in words is "nine hundred seventy-one thousand, seven hundred sixty".