13736448 has 120 divisors (see below), whose sum is σ = 43407936. Its totient is φ = 4147200.

The previous prime is 13736431. The next prime is 13736453. The reversal of 13736448 is 84463731.

13736448 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 644 + 8 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50553 + ... + 50823.

Almost surely, 2^13736448 is an apocalyptic number.

13736448 is a gapful number since it is divisible by the number (18) 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 13736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703968).

13736448 is an abundant number, since it is smaller than the sum of its proper divisors (29671488).

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

13736448 is a wasteful number, since it uses less digits than its factorization.

13736448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13736448 is about 3706.2714417592. The cubic root of 13736448 is about 239.4922599242.

It can be divided in two parts, 137 and 36448, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 13736448 in words is "thirteen million, seven hundred thirty-six thousand, four hundred forty-eight".