12953376 has 72 divisors (see below), whose sum is σ = 37769004. Its totient is φ = 4208640.

The previous prime is 12953333. The next prime is 12953377. The reversal of 12953376 is 67335921.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 1904400 = 3324^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12953376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11260 + ... + 12356.

Almost surely, 2^12953376 is an apocalyptic number.

12953376 is a gapful number since it is divisible by the number (16) 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 12953376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884502).

12953376 is an abundant number, since it is smaller than the sum of its proper divisors (24815628).

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

12953376 is a wasteful number, since it uses less digits than its factorization.

12953376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 12953376 is about 3599.0798824144. The cubic root of 12953376 is about 234.8520330032.

The spelling of 12953376 in words is "twelve million, nine hundred fifty-three thousand, three hundred seventy-six".