14966640 has 240 divisors, whose sum is σ = 57183840. Its totient is φ = 3594240.

The previous prime is 14966597. The next prime is 14966641. The reversal of 14966640 is 4666941.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 14966595 and 14966604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14966641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 365020 + ... + 365060.

It is an arithmetic number, because the mean of its divisors is an integer number (238266).

Almost surely, 2^14966640 is an apocalyptic number.

14966640 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 14966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591920).

14966640 is an abundant number, since it is smaller than the sum of its proper divisors (42217200).

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

14966640 is a wasteful number, since it uses less digits than its factorization.

14966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 14966640 is about 3868.6741915028. The cubic root of 14966640 is about 246.4382432067.

The spelling of 14966640 in words is "fourteen million, nine hundred sixty-six thousand, six hundred forty".