264642336 has 384 divisors, whose sum is σ = 967680000. Its totient is φ = 70108416.

The previous prime is 264642311. The next prime is 264642353. The reversal of 264642336 is 633246462.

264642336 is a `hidden beast` number, since 2 + 6 + 4 + 642 + 3 + 3 + 6 = 666.

264642336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a self number, because there is not a number n which added to its sum of digits gives 264642336.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5630665 + ... + 5630711.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2^264642336 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 264642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840000).

264642336 is an abundant number, since it is smaller than the sum of its proper divisors (703037664).

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

264642336 is a wasteful number, since it uses less digits than its factorization.

264642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 264642336 is about 16267.8313244267. The cubic root of 264642336 is about 642.0267261125.

Adding to 264642336 its reverse (633246462), we get a palindrome (897888798).

It can be divided in two parts, 2646 and 42336, that multiplied together give a square (112021056 = 10584²).

The spelling of 264642336 in words is "two hundred sixty-four million, six hundred forty-two thousand, three hundred thirty-six".