14977340 has 144 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 4515840.

The previous prime is 14977321. The next prime is 14977343. The reversal of 14977340 is 4377941.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 14977340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14977343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483125 + ... + 483155.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^14977340 is an apocalyptic number.

14977340 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 14977340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

14977340 is an abundant number, since it is smaller than the sum of its proper divisors (26390980).

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

14977340 is a wasteful number, since it uses less digits than its factorization.

14977340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 14977340 is about 3870.0568471277. The cubic root of 14977340 is about 246.4969573661.

The spelling of 14977340 in words is "fourteen million, nine hundred seventy-seven thousand, three hundred forty".