1963880 has 32 divisors (see below), whose sum is σ = 4573800. Its totient is φ = 758016.

The previous prime is 1963877. The next prime is 1963883. The reversal of 1963880 is 883691.

It is an interprime number because it is at equal distance from previous prime (1963877) and next prime (1963883).

It can be written as a sum of positive squares in 4 ways, for example, as 1493284 + 470596 = 1222^2 + 686^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1963880.

It is not an unprimeable number, because it can be changed into a prime (1963883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314 + ... + 2006.

2^1963880 is an apocalyptic number.

1963880 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 1963880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286900).

1963880 is an abundant number, since it is smaller than the sum of its proper divisors (2609920).

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

1963880 is a wasteful number, since it uses less digits than its factorization.

1963880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1963880 is about 1401.3850291765. The cubic root of 1963880 is about 125.2290201419.

The spelling of 1963880 in words is "one million, nine hundred sixty-three thousand, eight hundred eighty".