1984160 has 24 divisors (see below), whose sum is σ = 4687956. Its totient is φ = 793600.

The previous prime is 1984159. The next prime is 1984163. The reversal of 1984160 is 614891.

It can be written as a sum of positive squares in 2 ways, for example, as 1948816 + 35344 = 1396^2 + 188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984163) 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, 6041 + ... + 6360.

2^1984160 is an apocalyptic number.

1984160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1984160 is an abundant number, since it is smaller than the sum of its proper divisors (2703796).

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

1984160 is a wasteful number, since it uses less digits than its factorization.

1984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12416 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1984160 is about 1408.6021439711. The cubic root of 1984160 is about 125.6586038335.

The spelling of 1984160 in words is "one million, nine hundred eighty-four thousand, one hundred sixty".