1916544 has 128 divisors (see below), whose sum is σ = 6266880. Its totient is φ = 506880.

The previous prime is 1916543. The next prime is 1916573. The reversal of 1916544 is 4456191.

1916544 = T₂₁₇ + T₂₁₈ + ... + T₂₇₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1916543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61809 + ... + 61839.

It is an arithmetic number, because the mean of its divisors is an integer number (48960).

2^1916544 is an apocalyptic number.

1916544 is a gapful number since it is divisible by the number (14) 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 1916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133440).

1916544 is an abundant number, since it is smaller than the sum of its proper divisors (4350336).

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

1916544 is a wasteful number, since it uses less digits than its factorization.

1916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1916544 is about 1384.3930077836. The cubic root of 1916544 is about 124.2146818691.

The spelling of 1916544 in words is "one million, nine hundred sixteen thousand, five hundred forty-four".