6662664 has 96 divisors (see below), whose sum is σ = 19295640. Its totient is φ = 2073600.

The previous prime is 6662651. The next prime is 6662671. The reversal of 6662664 is 4662666.

It can be written as a sum of positive squares in 4 ways, for example, as 3572100 + 3090564 = 1890^2 + 1758^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (62208) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109194 + ... + 109254.

Almost surely, 2^6662664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6662664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820).

6662664 is an abundant number, since it is smaller than the sum of its proper divisors (12632976).

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

6662664 is a wasteful number, since it uses less digits than its factorization.

6662664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 6662664 is about 2581.2136680252. The cubic root of 6662664 is about 188.1695316999.

It can be divided in two parts, 666 and 2664, that multiplied together give a square (1774224 = 1332²).

The spelling of 6662664 in words is "six million, six hundred sixty-two thousand, six hundred sixty-four".