264126348 has 108 divisors (see below), whose sum is σ = 724127040. Its totient is φ = 81129984.

The previous prime is 264126347. The next prime is 264126361. The reversal of 264126348 is 843621462.

264126348 is a `hidden beast` number, since 2 + 6 + 4 + 12 + 634 + 8 = 666.

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

Its product of digits (55296) is a multiple of the sum of its prime factors (576).

It is not an unprimeable number, because it can be changed into a prime (264126347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 551173 + ... + 551651.

It is an arithmetic number, because the mean of its divisors is an integer number (6704880).

Almost surely, 2^264126348 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 264126348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362063520).

264126348 is an abundant number, since it is smaller than the sum of its proper divisors (460000692).

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

264126348 is a wasteful number, since it uses less digits than its factorization.

264126348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 554 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 264126348 is about 16251.9644351075. The cubic root of 264126348 is about 641.6091894619.

The spelling of 264126348 in words is "two hundred sixty-four million, one hundred twenty-six thousand, three hundred forty-eight".