14540800 has 84 divisors (see below), whose sum is σ = 36566856. Its totient is φ = 5734400.

The previous prime is 14540791. The next prime is 14540821. The reversal of 14540800 is 804541.

It is a super-2 number, since 2×14540800² = 422869729280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204765 + ... + 204835.

Almost surely, 2^14540800 is an apocalyptic number.

14540800 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 14540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283428).

14540800 is an abundant number, since it is smaller than the sum of its proper divisors (22026056).

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

14540800 is an frugal number, since it uses more digits than its factorization.

14540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 14540800 is about 3813.2400921002. The cubic root of 14540800 is about 244.0784483040.

The spelling of 14540800 in words is "fourteen million, five hundred forty thousand, eight hundred".