14742640 has 60 divisors (see below), whose sum is σ = 37700712. Its totient is φ = 5357440.

The previous prime is 14742617. The next prime is 14742659. The reversal of 14742640 is 4624741.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14742599 and 14742608.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8919 + ... + 10441.

Almost surely, 2^14742640 is an apocalyptic number.

14742640 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 14742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850356).

14742640 is an abundant number, since it is smaller than the sum of its proper divisors (22958072).

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

14742640 is a wasteful number, since it uses less digits than its factorization.

14742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 14742640 is about 3839.6145639895. The cubic root of 14742640 is about 245.2026090219.

It can be divided in two parts, 1474 and 2640, that added together give a palindrome (4114).

The spelling of 14742640 in words is "fourteen million, seven hundred forty-two thousand, six hundred forty".