1612416 has 128 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 442368.

The previous prime is 1612393. The next prime is 1612427. The reversal of 1612416 is 6142161.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1612392 and 1612401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84855 + ... + 84873.

2^1612416 is an apocalyptic number.

1612416 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 1612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

1612416 is an abundant number, since it is smaller than the sum of its proper divisors (3528384).

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

1612416 is a wasteful number, since it uses less digits than its factorization.

1612416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 1612416 is about 1269.8094345216. The cubic root of 1612416 is about 117.2624686876.

Adding to 1612416 its reverse (6142161), we get a palindrome (7754577).

The spelling of 1612416 in words is "one million, six hundred twelve thousand, four hundred sixteen".