13771680 has 96 divisors (see below), whose sum is σ = 46738944. Its totient is φ = 3388416.

The previous prime is 13771663. The next prime is 13771691. The reversal of 13771680 is 8617731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5137 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (486864).

Almost surely, 2^13771680 is an apocalyptic number.

13771680 is a gapful number since it is divisible by the number (10) 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 13771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23369472).

13771680 is an abundant number, since it is smaller than the sum of its proper divisors (32967264).

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

13771680 is a wasteful number, since it uses less digits than its factorization.

13771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 13771680 is about 3711.0214227353. The cubic root of 13771680 is about 239.6968394404.

It can be divided in two parts, 137 and 71680, that added together give a palindrome (71817).

The spelling of 13771680 in words is "thirteen million, seven hundred seventy-one thousand, six hundred eighty".