264242088 has 128 divisors (see below), whose sum is σ = 811209600. Its totient is φ = 80015040.

The previous prime is 264242087. The next prime is 264242093. The reversal of 264242088 is 880242462.

It is a happy number.

264242088 is a `hidden beast` number, since 2 + 642 + 4 + 2 + 0 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (264242087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191770 + ... + 193142.

It is an arithmetic number, because the mean of its divisors is an integer number (6337575).

Almost surely, 2^264242088 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 264242088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405604800).

264242088 is an abundant number, since it is smaller than the sum of its proper divisors (546967512).

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

264242088 is a wasteful number, since it uses less digits than its factorization.

264242088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 264242088 is about 16255.5248454179. The cubic root of 264242088 is about 641.7028933577.

The spelling of 264242088 in words is "two hundred sixty-four million, two hundred forty-two thousand, eighty-eight".