12979008 has 224 divisors, whose sum is σ = 46329600. Its totient is φ = 3483648.

The previous prime is 12978983. The next prime is 12979027. The reversal of 12979008 is 80097921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 350766 + ... + 350802.

Almost surely, 2^12979008 is an apocalyptic number.

12979008 is a gapful number since it is divisible by the number (18) 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 12979008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164800).

12979008 is an abundant number, since it is smaller than the sum of its proper divisors (33350592).

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

12979008 is a wasteful number, since it uses less digits than its factorization.

12979008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 12979008 is about 3602.6390327092. The cubic root of 12979008 is about 235.0068384912.

The spelling of 12979008 in words is "twelve million, nine hundred seventy-nine thousand, eight".