13893000 has 128 divisors (see below), whose sum is σ = 47399040. Its totient is φ = 3360000.

The previous prime is 13892993. The next prime is 13893007. The reversal of 13893000 is 39831.

It is an interprime number because it is at equal distance from previous prime (13892993) and next prime (13893007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13893007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32790 + ... + 33210.

It is an arithmetic number, because the mean of its divisors is an integer number (370305).

Almost surely, 2^13893000 is an apocalyptic number.

13893000 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 13893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23699520).

13893000 is an abundant number, since it is smaller than the sum of its proper divisors (33506040).

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

13893000 is a wasteful number, since it uses less digits than its factorization.

13893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 13893000 is about 3727.3314851244. The cubic root of 13893000 is about 240.3986430378.

13893000 divided by its sum of digits (24) gives a palindrome (578875).

The spelling of 13893000 in words is "thirteen million, eight hundred ninety-three thousand".