12977840 has 40 divisors (see below), whose sum is σ = 31152768. Its totient is φ = 5022720.

The previous prime is 12977837. The next prime is 12977843. The reversal of 12977840 is 4877921.

It is an interprime number because it is at equal distance from previous prime (12977837) and next prime (12977843).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12977794 and 12977803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12977843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137 + ... + 5096.

Almost surely, 2^12977840 is an apocalyptic number.

12977840 is a gapful number since it is divisible by the number (10) 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 12977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576384).

12977840 is an abundant number, since it is smaller than the sum of its proper divisors (18174928).

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

12977840 is a wasteful number, since it uses less digits than its factorization.

12977840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 12977840 is about 3602.4769256721. The cubic root of 12977840 is about 234.9997887428. Note that the first 3 decimals are identical.

The spelling of 12977840 in words is "twelve million, nine hundred seventy-seven thousand, eight hundred forty".