12986064 has 120 divisors (see below), whose sum is σ = 44774912. Its totient is φ = 3421440.

The previous prime is 12986041. The next prime is 12986081. The reversal of 12986064 is 46068921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12609 + ... + 13599.

Almost surely, 2^12986064 is an apocalyptic number.

12986064 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 12986064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387456).

12986064 is an abundant number, since it is smaller than the sum of its proper divisors (31788848).

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

12986064 is a wasteful number, since it uses less digits than its factorization.

12986064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12986064 is about 3603.6181817723. The cubic root of 12986064 is about 235.0494177045.

The spelling of 12986064 in words is "twelve million, nine hundred eighty-six thousand, sixty-four".