13764016 has 40 divisors (see below), whose sum is σ = 32274720. Its totient is φ = 5551104.

The previous prime is 13764013. The next prime is 13764043. The reversal of 13764016 is 61046731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13764013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1711 + ... + 5518.

It is an arithmetic number, because the mean of its divisors is an integer number (806868).

Almost surely, 2^13764016 is an apocalyptic number.

13764016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13764016 is an abundant number, since it is smaller than the sum of its proper divisors (18510704).

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

13764016 is a wasteful number, since it uses less digits than its factorization.

13764016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13764016 is about 3709.9886792280. The cubic root of 13764016 is about 239.6523670775.

The spelling of 13764016 in words is "thirteen million, seven hundred sixty-four thousand, sixteen".