12662496 has 144 divisors (see below), whose sum is σ = 44972928. Its totient is φ = 3283200.

The previous prime is 12662491. The next prime is 12662509. The reversal of 12662496 is 69426621.

12662496 is a `hidden beast` number, since 1 + 26 + 624 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12662496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12662491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21891 + ... + 22461.

It is an arithmetic number, because the mean of its divisors is an integer number (312312).

Almost surely, 2^12662496 is an apocalyptic number.

12662496 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 12662496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22486464).

12662496 is an abundant number, since it is smaller than the sum of its proper divisors (32310432).

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

12662496 is a wasteful number, since it uses less digits than its factorization.

12662496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12662496 is about 3558.4401076876. The cubic root of 12662496 is about 233.0807679860.

It can be divided in two parts, 126 and 62496, that multiplied together give a triangular number (7874496 = T₃₉₆₈).

The spelling of 12662496 in words is "twelve million, six hundred sixty-two thousand, four hundred ninety-six".