2687904 has 120 divisors (see below), whose sum is σ = 8507268. Its totient is φ = 829440.

The previous prime is 2687899. The next prime is 2687953. The reversal of 2687904 is 4097862.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 63504 = 1620^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

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 19 ways as a sum of consecutive naturals, for example, 44034 + ... + 44094.

2^2687904 is an apocalyptic number.

2687904 is a gapful number since it is divisible by the number (24) 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 2687904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253634).

2687904 is an abundant number, since it is smaller than the sum of its proper divisors (5819364).

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

2687904 is a wasteful number, since it uses less digits than its factorization.

2687904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2687904 is about 1639.4828452899. The cubic root of 2687904 is about 139.0394105250.

The spelling of 2687904 in words is "two million, six hundred eighty-seven thousand, nine hundred four".