12628896 has 48 divisors (see below), whose sum is σ = 37888704. Its totient is φ = 3608064.

The previous prime is 12628879. The next prime is 12628907. The reversal of 12628896 is 69882621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8725 + ... + 10068.

It is an arithmetic number, because the mean of its divisors is an integer number (789348).

Almost surely, 2^12628896 is an apocalyptic number.

12628896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12628896 is an abundant number, since it is smaller than the sum of its proper divisors (25259808).

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

12628896 is a wasteful number, since it uses less digits than its factorization.

12628896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18813 (or 18805 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 12628896 is about 3553.7158018052. The cubic root of 12628896 is about 232.8744250179.

The spelling of 12628896 in words is "twelve million, six hundred twenty-eight thousand, eight hundred ninety-six".