13936464 has 60 divisors (see below), whose sum is σ = 41304276. Its totient is φ = 4371456.

The previous prime is 13936463. The next prime is 13936471. The reversal of 13936464 is 46463931.

13936464 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6051600 + 7884864 = 2460^2 + 2808^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13936463) 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 11 ways as a sum of consecutive naturals, for example, 399 + ... + 5294.

Almost surely, 2^13936464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13936464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20652138).

13936464 is an abundant number, since it is smaller than the sum of its proper divisors (27367812).

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

13936464 is a wasteful number, since it uses less digits than its factorization.

13936464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5715 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13936464 is about 3733.1573768059. The cubic root of 13936464 is about 240.6490763338.

It can be divided in two parts, 13936 and 464, that added together give a square (14400 = 120²).

The spelling of 13936464 in words is "thirteen million, nine hundred thirty-six thousand, four hundred sixty-four".