1963920 has 120 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 446208.

The previous prime is 1963889. The next prime is 1963921. The reversal of 1963920 is 293691.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1963921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11677 + ... + 11843.

2^1963920 is an apocalyptic number.

1963920 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 1963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

1963920 is an abundant number, since it is smaller than the sum of its proper divisors (5160624).

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

1963920 is a wasteful number, since it uses less digits than its factorization.

1963920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1963920 is about 1401.3993006991. The cubic root of 1963920 is about 125.2298703512.

The spelling of 1963920 in words is "one million, nine hundred sixty-three thousand, nine hundred twenty".