13892880 has 80 divisors (see below), whose sum is σ = 43550784. Its totient is φ = 3663360.

The previous prime is 13892869. The next prime is 13892881. The reversal of 13892880 is 8829831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13892880² = 386024229388800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13892881) 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 15 ways as a sum of consecutive naturals, for example, 25410 + ... + 25950.

Almost surely, 2^13892880 is an apocalyptic number.

13892880 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 13892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21775392).

13892880 is an abundant number, since it is smaller than the sum of its proper divisors (29657904).

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

13892880 is a wasteful number, since it uses less digits than its factorization.

13892880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 13892880 is about 3727.3153877825. The cubic root of 13892880 is about 240.3979508926.

The spelling of 13892880 in words is "thirteen million, eight hundred ninety-two thousand, eight hundred eighty".