13364736 has 160 divisors (see below), whose sum is σ = 44782848. Its totient is φ = 3440640.

The previous prime is 13364731. The next prime is 13364749. The reversal of 13364736 is 63746331.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a junction number, because it is equal to n+sod(n) for n = 13364697 and 13364706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118216 + ... + 118328.

Almost surely, 2^13364736 is an apocalyptic number.

13364736 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 13364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

13364736 is an abundant number, since it is smaller than the sum of its proper divisors (31418112).

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

13364736 is a wasteful number, since it uses less digits than its factorization.

13364736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 13364736 is about 3655.7811750705. The cubic root of 13364736 is about 237.3122342337.

The spelling of 13364736 in words is "thirteen million, three hundred sixty-four thousand, seven hundred thirty-six".