12623904 has 96 divisors (see below), whose sum is σ = 38808000. Its totient is φ = 3981312.

The previous prime is 12623873. The next prime is 12623917. The reversal of 12623904 is 40932621.

12623904 = T₃₁₁ + T₃₁₂ + ... + T₄₇₂.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16032 + ... + 16800.

It is an arithmetic number, because the mean of its divisors is an integer number (404250).

Almost surely, 2^12623904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12623904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19404000).

12623904 is an abundant number, since it is smaller than the sum of its proper divisors (26184096).

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

12623904 is a wasteful number, since it uses less digits than its factorization.

12623904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12623904 is about 3553.0133689588. The cubic root of 12623904 is about 232.8437371326.

The spelling of 12623904 in words is "twelve million, six hundred twenty-three thousand, nine hundred four".