12587904 has 144 divisors (see below), whose sum is σ = 42325920. Its totient is φ = 3580416.

The previous prime is 12587903. The next prime is 12587917. The reversal of 12587904 is 40978521.

Added to its reverse (40978521) it gives a triangular number (53566425 = T₁₀₃₅₀).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12587904² = 316910654226432, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12587903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56337 + ... + 56559.

It is an arithmetic number, because the mean of its divisors is an integer number (293930).

Almost surely, 2^12587904 is an apocalyptic number.

12587904 is a gapful number since it is divisible by the number (14) 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 12587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162960).

12587904 is an abundant number, since it is smaller than the sum of its proper divisors (29738016).

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

12587904 is a wasteful number, since it uses less digits than its factorization.

12587904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12587904 is about 3547.9436297664. The cubic root of 12587904 is about 232.6221903675.

Adding to 12587904 its reverse (40978521), we get a triangular number (53566425 = T₁₀₃₅₀).

The spelling of 12587904 in words is "twelve million, five hundred eighty-seven thousand, nine hundred four".