1965056 has 44 divisors (see below), whose sum is σ = 4175880. Its totient is φ = 921600.

The previous prime is 1964987. The next prime is 1965077. The reversal of 1965056 is 6505691.

It is a super-2 number, since 2×1965056² = 7722890166272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19406 + ... + 19506.

2^1965056 is an apocalyptic number.

1965056 is a gapful number since it is divisible by the number (16) 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 1965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087940).

1965056 is an abundant number, since it is smaller than the sum of its proper divisors (2210824).

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

1965056 is a wasteful number, since it uses less digits than its factorization.

1965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 1965056 is about 1401.8045512838. The cubic root of 1965056 is about 125.2540114757.

The spelling of 1965056 in words is "one million, nine hundred sixty-five thousand, fifty-six".