1963120 has 40 divisors (see below), whose sum is σ = 4660416. Its totient is φ = 768768.

The previous prime is 1963111. The next prime is 1963127. The reversal of 1963120 is 213691.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1963091 and 1963100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963127) 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, 4009 + ... + 4471.

2^1963120 is an apocalyptic number.

1963120 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 1963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330208).

1963120 is an abundant number, since it is smaller than the sum of its proper divisors (2697296).

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

1963120 is a wasteful number, since it uses less digits than its factorization.

1963120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1963120 is about 1401.1138426266. The cubic root of 1963120 is about 125.2128639723.

The spelling of 1963120 in words is "one million, nine hundred sixty-three thousand, one hundred twenty".