14096000 has 64 divisors (see below), whose sum is σ = 35085960. Its totient is φ = 5632000.

The previous prime is 14095919. The next prime is 14096023. The reversal of 14096000 is 69041.

It can be written as a sum of positive squares in 4 ways, for example, as 2096704 + 11999296 = 1448^2 + 3464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15560 + ... + 16440.

Almost surely, 2^14096000 is an apocalyptic number.

14096000 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 14096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542980).

14096000 is an abundant number, since it is smaller than the sum of its proper divisors (20989960).

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

14096000 is an frugal number, since it uses more digits than its factorization.

14096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 14096000 is about 3754.4640096823. The cubic root of 14096000 is about 241.5638616766.

The spelling of 14096000 in words is "fourteen million, ninety-six thousand".