6923664 has 160 divisors (see below), whose sum is σ = 22855680. Its totient is φ = 1987200.

The previous prime is 6923627. The next prime is 6923669. The reversal of 6923664 is 4663296.

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 not an unprimeable number, because it can be changed into a prime (6923669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147289 + ... + 147335.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

Almost surely, 2^6923664 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 6923664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).

6923664 is an abundant number, since it is smaller than the sum of its proper divisors (15932016).

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

6923664 is a wasteful number, since it uses less digits than its factorization.

6923664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 6923664 is about 2631.2856173361. The cubic root of 6923664 is about 190.5952155920.

It can be divided in two parts, 692 and 3664, that added together give a square (4356 = 66²).

The spelling of 6923664 in words is "six million, nine hundred twenty-three thousand, six hundred sixty-four".