13778496 has 84 divisors (see below), whose sum is σ = 41605200. Its totient is φ = 4347648.

The previous prime is 13778491. The next prime is 13778507. The reversal of 13778496 is 69487731.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (254016) is a multiple of the sum of its prime factors (1296).

It is not an unprimeable number, because it can be changed into a prime (13778491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10315 + ... + 11573.

It is an arithmetic number, because the mean of its divisors is an integer number (495300).

Almost surely, 2^13778496 is an apocalyptic number.

13778496 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 13778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802600).

13778496 is an abundant number, since it is smaller than the sum of its proper divisors (27826704).

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

13778496 is a wasteful number, since it uses less digits than its factorization.

13778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1283 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 13778496 is about 3711.9396546819. The cubic root of 13778496 is about 239.7363772019.

The spelling of 13778496 in words is "thirteen million, seven hundred seventy-eight thousand, four hundred ninety-six".