2816736 has 96 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 829440.

The previous prime is 2816717. The next prime is 2816767. The reversal of 2816736 is 6376182.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2816697 and 2816706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46146 + ... + 46206.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

2^2816736 is an apocalyptic number.

2816736 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 2816736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

2816736 is an abundant number, since it is smaller than the sum of its proper divisors (5495232).

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

2816736 is a wasteful number, since it uses less digits than its factorization.

2816736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2816736 is about 1678.3134391406. The cubic root of 2816736 is about 141.2262350704.

It can be divided in two parts, 28167 and 36, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 2816736 in words is "two million, eight hundred sixteen thousand, seven hundred thirty-six".