1964416 has 32 divisors (see below), whose sum is σ = 3978000. Its totient is φ = 966144.

The previous prime is 1964411. The next prime is 1964419. The reversal of 1964416 is 6144691.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13110 + ... + 13258.

2^1964416 is an apocalyptic number.

1964416 is a gapful number since it is divisible by the number (16) 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 1964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989000).

1964416 is an abundant number, since it is smaller than the sum of its proper divisors (2013584).

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

1964416 is a wasteful number, since it uses less digits than its factorization.

1964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 1964416 is about 1401.5762555066. The cubic root of 1964416 is about 125.2404119868.

The spelling of 1964416 in words is "one million, nine hundred sixty-four thousand, four hundred sixteen".