14906892 has 192 divisors, whose sum is σ = 50125824. Its totient is φ = 3317760.

The previous prime is 14906873. The next prime is 14906917. The reversal of 14906892 is 29860941.

14906892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14906892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204168 + ... + 204240.

It is an arithmetic number, because the mean of its divisors is an integer number (261072).

Almost surely, 2^14906892 is an apocalyptic number.

14906892 is a gapful number since it is divisible by the number (12) 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 14906892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25062912).

14906892 is an abundant number, since it is smaller than the sum of its proper divisors (35218932).

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

14906892 is a wasteful number, since it uses less digits than its factorization.

14906892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 14906892 is about 3860.9444440447. The cubic root of 14906892 is about 246.1098722630.

The spelling of 14906892 in words is "fourteen million, nine hundred six thousand, eight hundred ninety-two".