14978040 has 128 divisors (see below), whose sum is σ = 56056320. Its totient is φ = 3110400.

The previous prime is 14978027. The next prime is 14978059. The reversal of 14978040 is 4087941.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 14977992 and 14978010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8430 + ... + 10050.

It is an arithmetic number, because the mean of its divisors is an integer number (437940).

Almost surely, 2^14978040 is an apocalyptic number.

14978040 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 14978040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28028160).

14978040 is an abundant number, since it is smaller than the sum of its proper divisors (41078280).

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

14978040 is a wasteful number, since it uses less digits than its factorization.

14978040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14978040 is about 3870.1472840190. The cubic root of 14978040 is about 246.5007975046.

The spelling of 14978040 in words is "fourteen million, nine hundred seventy-eight thousand, forty".