264080088 has 160 divisors (see below), whose sum is σ = 790614000. Its totient is φ = 82114560.

The previous prime is 264080083. The next prime is 264080099. The reversal of 264080088 is 880080462.

264080088 is a `hidden beast` number, since 2 + 640 + 8 + 0 + 0 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264080083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1095648 + ... + 1095888.

Almost surely, 2^264080088 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 264080088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395307000).

264080088 is an abundant number, since it is smaller than the sum of its proper divisors (526533912).

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

264080088 is a wasteful number, since it uses less digits than its factorization.

264080088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 264080088 is about 16250.5411602199. The cubic root of 264080088 is about 641.5717293924.

It can be divided in two parts, 2640 and 80088, that added together give a palindrome (82728).

The spelling of 264080088 in words is "two hundred sixty-four million, eighty thousand, eighty-eight".