12588961 has 24 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 9641280.

The previous prime is 12588941. The next prime is 12588973. The reversal of 12588961 is 16988521.

12588961 = 70² + 71² + ... + 336².

It is not a de Polignac number, because 12588961 - 2⁷ = 12588833 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75300 + ... + 75466.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^12588961 is an apocalyptic number.

12588961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12588961 is a deficient number, since it is larger than the sum of its proper divisors (3498719).

12588961 is a wasteful number, since it uses less digits than its factorization.

12588961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its digits is 34560, while the sum is 40.

The square root of 12588961 is about 3548.0925861651. The cubic root of 12588961 is about 232.6287012416.

The spelling of 12588961 in words is "twelve million, five hundred eighty-eight thousand, nine hundred sixty-one".