14973840 has 120 divisors (see below), whose sum is σ = 57490368. Its totient is φ = 3421440.

The previous prime is 14973839. The next prime is 14973841. The reversal of 14973840 is 4837941.

It is a happy number.

14973840 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 an interprime number because it is at equal distance from previous prime (14973839) and next prime (14973841).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14973795 and 14973804.

It is not an unprimeable number, because it can be changed into a prime (14973841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3555 + ... + 6525.

Almost surely, 2^14973840 is an apocalyptic number.

14973840 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 14973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28745184).

14973840 is an abundant number, since it is smaller than the sum of its proper divisors (42516528).

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

14973840 is a wasteful number, since it uses less digits than its factorization.

14973840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 14973840 is about 3869.6046309668. The cubic root of 14973840 is about 246.4777548784.

The spelling of 14973840 in words is "fourteen million, nine hundred seventy-three thousand, eight hundred forty".