1931680 has 24 divisors (see below), whose sum is σ = 4563972. Its totient is φ = 772608.

The previous prime is 1931669. The next prime is 1931681. The reversal of 1931680 is 861391.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 283024 = 1284^2 + 532^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1931681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5877 + ... + 6196.

2^1931680 is an apocalyptic number.

1931680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1931680 is an abundant number, since it is smaller than the sum of its proper divisors (2632292).

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

1931680 is a wasteful number, since it uses less digits than its factorization.

1931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12088 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1931680 is about 1389.8489126520. The cubic root of 1931680 is about 124.5408219764.

The spelling of 1931680 in words is "one million, nine hundred thirty-one thousand, six hundred eighty".