13892736 has 192 divisors, whose sum is σ = 45581760. Its totient is φ = 3717120.

The previous prime is 13892729. The next prime is 13892737. The reversal of 13892736 is 63729831.

13892736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13892736² = 386016227131392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13892694 and 13892703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13892737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604021 + ... + 604043.

It is an arithmetic number, because the mean of its divisors is an integer number (237405).

Almost surely, 2^13892736 is an apocalyptic number.

13892736 is a gapful number since it is divisible by the number (16) 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 13892736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22790880).

13892736 is an abundant number, since it is smaller than the sum of its proper divisors (31689024).

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

13892736 is a wasteful number, since it uses less digits than its factorization.

13892736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 13892736 is about 3727.2960708803. The cubic root of 13892736 is about 240.3971203131.

The spelling of 13892736 in words is "thirteen million, eight hundred ninety-two thousand, seven hundred thirty-six".