1963416 has 128 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 483840.

The previous prime is 1963411. The next prime is 1963433. The reversal of 1963416 is 6143691.

1963416 is nontrivially palindromic in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963411) 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 31 ways as a sum of consecutive naturals, for example, 63321 + ... + 63351.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2^1963416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1963416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

1963416 is an abundant number, since it is smaller than the sum of its proper divisors (4487784).

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

1963416 is a wasteful number, since it uses less digits than its factorization.

1963416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 1963416 is about 1401.2194688913. The cubic root of 1963416 is about 125.2191568709.

The spelling of 1963416 in words is "one million, nine hundred sixty-three thousand, four hundred sixteen".