13872810 has 64 divisors (see below), whose sum is σ = 39297024. Its totient is φ = 3067200.

The previous prime is 13872809. The next prime is 13872829. The reversal of 13872810 is 1827831.

It is a happy number.

It is a super-2 number, since 2×13872810² = 384909714592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5445 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (614016).

Almost surely, 2^13872810 is an apocalyptic number.

13872810 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 13872810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648512).

13872810 is an abundant number, since it is smaller than the sum of its proper divisors (25424214).

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

13872810 is a wasteful number, since it uses less digits than its factorization.

13872810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 13872810 is about 3724.6221284850. The cubic root of 13872810 is about 240.2821334841.

The spelling of 13872810 in words is "thirteen million, eight hundred seventy-two thousand, eight hundred ten".