13887810 has 96 divisors (see below), whose sum is σ = 39677040. Its totient is φ = 3354624.

The previous prime is 13887761. The next prime is 13887817. The reversal of 13887810 is 1878831.

13887810 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3448449 + 10439361 = 1857^2 + 3231^2 .

It is a super-2 number, since 2×13887810² = 385742533192200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13887817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44214 + ... + 44526.

Almost surely, 2^13887810 is an apocalyptic number.

13887810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13887810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19838520).

13887810 is an abundant number, since it is smaller than the sum of its proper divisors (25789230).

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

13887810 is a wasteful number, since it uses less digits than its factorization.

13887810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 13887810 is about 3726.6352115548. The cubic root of 13887810 is about 240.3687041153.

The spelling of 13887810 in words is "thirteen million, eight hundred eighty-seven thousand, eight hundred ten".