1972360 has 32 divisors (see below), whose sum is σ = 4780440. Its totient is φ = 728064.

The previous prime is 1972349. The next prime is 1972361. The reversal of 1972360 is 632791.

It can be written as a sum of positive squares in 4 ways, for example, as 894916 + 1077444 = 946^2 + 1038^2 .

It is not an unprimeable number, because it can be changed into a prime (1972361) 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, 1377 + ... + 2416.

2^1972360 is an apocalyptic number.

1972360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972360 is an abundant number, since it is smaller than the sum of its proper divisors (2808080).

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

1972360 is a wasteful number, since it uses less digits than its factorization.

1972360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 1972360 is about 1404.4073483146. The cubic root of 1972360 is about 125.4090069138.

It can be divided in two parts, 1972 and 360, that added together give a palindrome (2332).

The spelling of 1972360 in words is "one million, nine hundred seventy-two thousand, three hundred sixty".