1972640 has 24 divisors (see below), whose sum is σ = 4660740. Its totient is φ = 788992.

The previous prime is 1972627. The next prime is 1972643. The reversal of 1972640 is 462791.

It can be written as a sum of positive squares in 2 ways, for example, as 1607824 + 364816 = 1268^2 + 604^2 .

It is not an unprimeable number, because it can be changed into a prime (1972643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6005 + ... + 6324.

2^1972640 is an apocalyptic number.

1972640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972640 is an abundant number, since it is smaller than the sum of its proper divisors (2688100).

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

1972640 is a wasteful number, since it uses less digits than its factorization.

1972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12336 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1972640 is about 1404.5070309543. The cubic root of 1972640 is about 125.4149410672.

The spelling of 1972640 in words is "one million, nine hundred seventy-two thousand, six hundred forty".