14733840 has 80 divisors (see below), whose sum is σ = 49836096. Its totient is φ = 3571200.

The previous prime is 14733799. The next prime is 14733847. The reversal of 14733840 is 4833741.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14733840² = 434172082291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14733798 and 14733807.

It is not an unprimeable number, because it can be changed into a prime (14733847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151 + ... + 5430.

Almost surely, 2^14733840 is an apocalyptic number.

14733840 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 14733840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918048).

14733840 is an abundant number, since it is smaller than the sum of its proper divisors (35102256).

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

14733840 is a wasteful number, since it uses less digits than its factorization.

14733840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 14733840 is about 3838.4684445753. The cubic root of 14733840 is about 245.1538115105.

Subtracting from 14733840 its reverse (4833741), we obtain a palindrome (9900099).

The spelling of 14733840 in words is "fourteen million, seven hundred thirty-three thousand, eight hundred forty".