14510664 has 120 divisors (see below), whose sum is σ = 47382390. Its totient is φ = 4136832.

The previous prime is 14510653. The next prime is 14510689. The reversal of 14510664 is 46601541.

14510664 = 520² + 521² + ... + 568².

14510664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9922500 + 4588164 = 3150^2 + 2142^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31524 + ... + 31980.

Almost surely, 2^14510664 is an apocalyptic number.

14510664 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 14510664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23691195).

14510664 is an abundant number, since it is smaller than the sum of its proper divisors (32871726).

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

14510664 is a wasteful number, since it uses less digits than its factorization.

14510664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14510664 is about 3809.2865473734. The cubic root of 14510664 is about 243.9097130793.

The spelling of 14510664 in words is "fourteen million, five hundred ten thousand, six hundred sixty-four".