2846116 has 36 divisors (see below), whose sum is σ = 6245148. Its totient is φ = 1124928.

The previous prime is 2846113. The next prime is 2846119. The reversal of 2846116 is 6116482.

It is an interprime number because it is at equal distance from previous prime (2846113) and next prime (2846119).

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 2592100 = 504^2 + 1610^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2846111) 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, 1990 + ... + 3106.

2^2846116 is an apocalyptic number.

2846116 is a gapful number since it is divisible by the number (26) 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 2846116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122574).

2846116 is an abundant number, since it is smaller than the sum of its proper divisors (3399032).

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

2846116 is a wasteful number, since it uses less digits than its factorization.

2846116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 2846116 is about 1687.0435679021. The cubic root of 2846116 is about 141.7155583650.

It can be divided in two parts, 284 and 6116, that added together give a square (6400 = 80²).

The spelling of 2846116 in words is "two million, eight hundred forty-six thousand, one hundred sixteen".