12905376 has 96 divisors (see below), whose sum is σ = 37630656. Its totient is φ = 3872000.

The previous prime is 12905311. The next prime is 12905381. The reversal of 12905376 is 67350921.

12905376 = T₇₅ + T₇₆ + ... + T₄₂₆.

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 (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127726 + ... + 127826.

It is an arithmetic number, because the mean of its divisors is an integer number (391986).

Almost surely, 2^12905376 is an apocalyptic number.

12905376 is a gapful number since it is divisible by the number (16) 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 12905376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815328).

12905376 is an abundant number, since it is smaller than the sum of its proper divisors (24725280).

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

12905376 is a wasteful number, since it uses less digits than its factorization.

12905376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 12905376 is about 3592.4053223432. The cubic root of 12905376 is about 234.5615848967.

It can be divided in two parts, 1290 and 5376, that added together give a palindrome (6666).

The spelling of 12905376 in words is "twelve million, nine hundred five thousand, three hundred seventy-six".