13761680 has 20 divisors (see below), whose sum is σ = 31996092. Its totient is φ = 5504640.

The previous prime is 13761667. The next prime is 13761697. The reversal of 13761680 is 8616731.

13761680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10316944 + 3444736 = 3212^2 + 1856^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85931 + ... + 86090.

Almost surely, 2^13761680 is an apocalyptic number.

13761680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13761680 is an abundant number, since it is smaller than the sum of its proper divisors (18234412).

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

13761680 is a wasteful number, since it uses less digits than its factorization.

13761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172034 (or 172028 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13761680 is about 3709.6738401105. The cubic root of 13761680 is about 239.6388085443.

It can be divided in two parts, 13761 and 680, that added together give a palindrome (14441).

The spelling of 13761680 in words is "thirteen million, seven hundred sixty-one thousand, six hundred eighty".