1965120 has 112 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 495616.

The previous prime is 1965109. The next prime is 1965133. The reversal of 1965120 is 215691.

1965120 = T₂₆₉ + T₂₇₀ + ... + T₃₁₄.

It is a super-2 number, since 2×1965120² = 7723393228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22036 + ... + 22124.

2^1965120 is an apocalyptic number.

1965120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

1965120 is an abundant number, since it is smaller than the sum of its proper divisors (4618560).

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

1965120 is a wasteful number, since it uses less digits than its factorization.

1965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1965120 is about 1401.8273788167. The cubic root of 1965120 is about 125.2553712622.

The spelling of 1965120 in words is "one million, nine hundred sixty-five thousand, one hundred twenty".