1616112 has 100 divisors (see below), whose sum is σ = 4951320. Its totient is φ = 508032.

The previous prime is 1616099. The next prime is 1616113. The reversal of 1616112 is 2116161.

It is a super-2 number, since 2×1616112² = 5223635993088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37563 + ... + 37605.

2^1616112 is an apocalyptic number.

1616112 is a gapful number since it is divisible by the number (12) 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 1616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475660).

1616112 is an abundant number, since it is smaller than the sum of its proper divisors (3335208).

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

1616112 is a wasteful number, since it uses less digits than its factorization.

1616112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1616112 is about 1271.2639379767. The cubic root of 1616112 is about 117.3519971458.

It can be divided in two parts, 1616 and 112, that added together give a cube (1728 = 12³).

The spelling of 1616112 in words is "one million, six hundred sixteen thousand, one hundred twelve".