14872608 has 72 divisors (see below), whose sum is σ = 42761628. Its totient is φ = 4902912.

The previous prime is 14872607. The next prime is 14872639. The reversal of 14872608 is 80627841.

14872608 is a `hidden beast` number, since 1 + 48 + 7 + 2 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14653584 + 219024 = 3828^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (14872607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32316 + ... + 32772.

Almost surely, 2^14872608 is an apocalyptic number.

14872608 is a gapful number since it is divisible by the number (18) 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 14872608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21380814).

14872608 is an abundant number, since it is smaller than the sum of its proper divisors (27889020).

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

14872608 is a wasteful number, since it uses less digits than its factorization.

14872608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14872608 is about 3856.5020420065. The cubic root of 14872608 is about 245.9210533901.

It can be divided in two parts, 1487 and 2608, that added together give a triangular number (4095 = T₉₀).

The spelling of 14872608 in words is "fourteen million, eight hundred seventy-two thousand, six hundred eight".