6623136 has 144 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 1935360.

The previous prime is 6623131. The next prime is 6623159. The reversal of 6623136 is 6313266.

6623136 is a `hidden beast` number, since 6 + 623 + 1 + 36 = 666.

6623136 is digitally balanced in base 5, 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 4 ways, for example, as 2702736 + 3920400 = 1644^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (3888) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (6623131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108546 + ... + 108606.

Almost surely, 2^6623136 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 6623136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663380).

6623136 is an abundant number, since it is smaller than the sum of its proper divisors (14703624).

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

6623136 is a wasteful number, since it uses less digits than its factorization.

6623136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 6623136 is about 2573.5454144040. The cubic root of 6623136 is about 187.7966716773.

The spelling of 6623136 in words is "six million, six hundred twenty-three thousand, one hundred thirty-six".