12977664 has 160 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 3440640.

The previous prime is 12977651. The next prime is 12977707. The reversal of 12977664 is 46677921.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182749 + ... + 182819.

Almost surely, 2^12977664 is an apocalyptic number.

12977664 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 12977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

12977664 is an abundant number, since it is smaller than the sum of its proper divisors (29448192).

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

12977664 is an equidigital number, since it uses as much as digits as its factorization.

12977664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 12977664 is about 3602.4524979519. The cubic root of 12977664 is about 234.9987264153.

The spelling of 12977664 in words is "twelve million, nine hundred seventy-seven thousand, six hundred sixty-four".