14976164 has 36 divisors (see below), whose sum is σ = 30810780. Its totient is φ = 6350400.

The previous prime is 14976163. The next prime is 14976187. The reversal of 14976164 is 46167941.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11764900 + 3211264 = 3430^2 + 1792^2 .

It is a super-3 number, since 3×14976164³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14976163) 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, 21014 + ... + 21714.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 2^14976164 is an apocalyptic number.

14976164 is a gapful number since it is divisible by the number (14) 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 14976164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405390).

14976164 is an abundant number, since it is smaller than the sum of its proper divisors (15834616).

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

14976164 is a wasteful number, since it uses less digits than its factorization.

14976164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 14976164 is about 3869.9049083925. The cubic root of 14976164 is about 246.4905056640.

The spelling of 14976164 in words is "fourteen million, nine hundred seventy-six thousand, one hundred sixty-four".