1963368 has 96 divisors (see below), whose sum is σ = 6046560. Its totient is φ = 570240.

The previous prime is 1963333. The next prime is 1963369. The reversal of 1963368 is 8633691.

It is a happy number.

1963368 is a `hidden beast` number, since 19 + 633 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1963369) 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, 29271 + ... + 29337.

It is an arithmetic number, because the mean of its divisors is an integer number (62985).

2^1963368 is an apocalyptic number.

1963368 is a gapful number since it is divisible by the number (18) 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 1963368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023280).

1963368 is an abundant number, since it is smaller than the sum of its proper divisors (4083192).

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

1963368 is a wasteful number, since it uses less digits than its factorization.

1963368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1963368 is about 1401.2023408487. The cubic root of 1963368 is about 125.2181364438.

It can be divided in two parts, 19633 and 68, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 1963368 in words is "one million, nine hundred sixty-three thousand, three hundred sixty-eight".