971360 has 48 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 357888.

The previous prime is 971357. The next prime is 971371. The reversal of 971360 is 63179.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1847 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2⁹⁷¹³⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328).

971360 is an abundant number, since it is smaller than the sum of its proper divisors (1505296).

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

971360 is a wasteful number, since it uses less digits than its factorization.

971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 971360 is about 985.5759737331. The cubic root of 971360 is about 99.0360716086.

It can be divided in two parts, 971 and 360, that added together give a palindrome (1331).

The spelling of 971360 in words is "nine hundred seventy-one thousand, three hundred sixty".