14769840 has 160 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 3594240.

The previous prime is 14769803. The next prime is 14769847. The reversal of 14769840 is 4896741.

It is a happy number.

14769840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14769847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186921 + ... + 186999.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^14769840 is an apocalyptic number.

14769840 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 14769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

14769840 is an abundant number, since it is smaller than the sum of its proper divisors (35226960).

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

14769840 is a wasteful number, since it uses less digits than its factorization.

14769840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14769840 is about 3843.1549539408. The cubic root of 14769840 is about 245.3533150339.

The spelling of 14769840 in words is "fourteen million, seven hundred sixty-nine thousand, eight hundred forty".