13413764 has 48 divisors (see below), whose sum is σ = 29597568. Its totient is φ = 5177088.

The previous prime is 13413749. The next prime is 13413767. The reversal of 13413764 is 46731431.

It is not an unprimeable number, because it can be changed into a prime (13413767) 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, 15224 + ... + 16080.

It is an arithmetic number, because the mean of its divisors is an integer number (616616).

Almost surely, 2^13413764 is an apocalyptic number.

13413764 is a gapful number since it is divisible by the number (14) 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 13413764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798784).

13413764 is an abundant number, since it is smaller than the sum of its proper divisors (16183804).

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

13413764 is a wasteful number, since it uses less digits than its factorization.

13413764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 13413764 is about 3662.4805801533. The cubic root of 13413764 is about 237.6020702545.

The spelling of 13413764 in words is "thirteen million, four hundred thirteen thousand, seven hundred sixty-four".