1996416 has 48 divisors (see below), whose sum is σ = 5748210. Its totient is φ = 665088.

The previous prime is 1996411. The next prime is 1996417. The reversal of 1996416 is 6146991.

1996416 is a `hidden beast` number, since 1 + 9 + 9 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 254016 = 1320^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (1996411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286 + ... + 2018.

2^1996416 is an apocalyptic number.

1996416 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 1996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874105).

1996416 is an abundant number, since it is smaller than the sum of its proper divisors (3751794).

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

1996416 is a wasteful number, since it uses less digits than its factorization.

1996416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1738 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 1996416 is about 1412.9458588354. The cubic root of 1996416 is about 125.9168007058.

The spelling of 1996416 in words is "one million, nine hundred ninety-six thousand, four hundred sixteen".