14864040 has 64 divisors (see below), whose sum is σ = 49550400. Its totient is φ = 3963456.

The previous prime is 14864029. The next prime is 14864051. The reversal of 14864040 is 4046841.

14864040 is a `hidden beast` number, since 14 + 8 + 640 + 4 + 0 = 666.

14864040 is digitally balanced in base 2, because in such base 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 (14864029) and next prime (14864051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14863995 and 14864013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5802 + ... + 7961.

It is an arithmetic number, because the mean of its divisors is an integer number (774225).

Almost surely, 2^14864040 is an apocalyptic number.

14864040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14864040 is an abundant number, since it is smaller than the sum of its proper divisors (34686360).

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

14864040 is a wasteful number, since it uses less digits than its factorization.

14864040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13783 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14864040 is about 3855.3910307516. The cubic root of 14864040 is about 245.8738198823.

The spelling of 14864040 in words is "fourteen million, eight hundred sixty-four thousand, forty".