264868128 has 162 divisors, whose sum is σ = 882635481. Its totient is φ = 75124224.

The previous prime is 264868117. The next prime is 264868129. The reversal of 264868128 is 821868462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 262828944 + 2039184 = 16212^2 + 1428^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11508.

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

It is not an unprimeable number, because it can be changed into a prime (264868129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1933276 + ... + 1933412.

Almost surely, 2^264868128 is an apocalyptic number.

264868128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264868128

264868128 is an abundant number, since it is smaller than the sum of its proper divisors (617767353).

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

264868128 is a wasteful number, since it uses less digits than its factorization.

264868128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 149 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 264868128 is about 16274.7696757896. The cubic root of 264868128 is about 642.2092659289.

Multiplying 264868128 by its product of digits (294912), we get a square (78112789364736 = 8838144²).

The spelling of 264868128 in words is "two hundred sixty-four million, eight hundred sixty-eight thousand, one hundred twenty-eight".