13761888 has 48 divisors (see below), whose sum is σ = 41287680. Its totient is φ = 3931776.

The previous prime is 13761883. The next prime is 13761893. The reversal of 13761888 is 88816731.

It is an interprime number because it is at equal distance from previous prime (13761883) and next prime (13761893).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13761888² = 378779122649088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13761883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9568 + ... + 10911.

It is an arithmetic number, because the mean of its divisors is an integer number (860160).

Almost surely, 2^13761888 is an apocalyptic number.

It is an amenable number.

13761888 is an abundant number, since it is smaller than the sum of its proper divisors (27525792).

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

13761888 is a wasteful number, since it uses less digits than its factorization.

13761888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20499 (or 20491 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 13761888 is about 3709.7018748142. The cubic root of 13761888 is about 239.6400158731.

The spelling of 13761888 in words is "thirteen million, seven hundred sixty-one thousand, eight hundred eighty-eight".