1946016 has 72 divisors (see below), whose sum is σ = 5749380. Its totient is φ = 623616.

The previous prime is 1946011. The next prime is 1946017. The reversal of 1946016 is 6106491.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 41616 = 1380^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1946011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8236 + ... + 8468.

2^1946016 is an apocalyptic number.

1946016 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 1946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874690).

1946016 is an abundant number, since it is smaller than the sum of its proper divisors (3803364).

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

1946016 is a wasteful number, since it uses less digits than its factorization.

1946016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1946016 is about 1394.9967741898. The cubic root of 1946016 is about 124.8481569575.

The spelling of 1946016 in words is "one million, nine hundred forty-six thousand, sixteen".