1971360 has 108 divisors (see below), whose sum is σ = 6913998. Its totient is φ = 511488.

The previous prime is 1971349. The next prime is 1971377. The reversal of 1971360 is 631791.

It can be written as a sum of positive squares in 3 ways, for example, as 1971216 + 144 = 1404^2 + 12^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53262 + ... + 53298.

2^1971360 is an apocalyptic number.

1971360 is a gapful number since it is divisible by the number (10) 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 1971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456999).

1971360 is an abundant number, since it is smaller than the sum of its proper divisors (4942638).

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

1971360 is a wasteful number, since it uses less digits than its factorization.

1971360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1971360 is about 1404.0512811148. The cubic root of 1971360 is about 125.3878089230.

The spelling of 1971360 in words is "one million, nine hundred seventy-one thousand, three hundred sixty".