1969120 has 48 divisors (see below), whose sum is σ = 4814208. Its totient is φ = 760320.

The previous prime is 1969111. The next prime is 1969147. The reversal of 1969120 is 219691.

1969120 is a nontrivial binomial coefficient, being equal to C(1985, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4762 + ... + 5158.

It is an arithmetic number, because the mean of its divisors is an integer number (100296).

2^1969120 is an apocalyptic number.

1969120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1969120 is the 1984-th triangular number.

1969120 is the 662-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407104).

1969120 is an abundant number, since it is smaller than the sum of its proper divisors (2845088).

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

1969120 is a wasteful number, since it uses less digits than its factorization.

1969120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 1969120 is about 1403.2533627253. The cubic root of 1969120 is about 125.3402993965.

It can be divided in two parts, 196 and 9120, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 1969120 in words is "one million, nine hundred sixty-nine thousand, one hundred twenty".