2087904 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 548352.

The previous prime is 2087903. The next prime is 2087909. The reversal of 2087904 is 4097802.

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

It is a super-2 number, since 2×2087904² = 8718686226432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8617 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2^2087904 is an apocalyptic number.

2087904 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 2087904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2087904 is an abundant number, since it is smaller than the sum of its proper divisors (4685856).

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

2087904 is a wasteful number, since it uses less digits than its factorization.

2087904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2087904 is about 1444.9581308813. The cubic root of 2087904 is about 127.8115717099.

The spelling of 2087904 in words is "two million, eighty-seven thousand, nine hundred four".