264357632 has 72 divisors (see below), whose sum is σ = 657939072. Its totient is φ = 102988800.

The previous prime is 264357631. The next prime is 264357641. The reversal of 264357632 is 236753462.

It is a happy number.

264357632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264357631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13007 + ... + 26417.

Almost surely, 2^264357632 is an apocalyptic number.

264357632 is a gapful number since it is divisible by the number (22) 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 264357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328969536).

264357632 is an abundant number, since it is smaller than the sum of its proper divisors (393581440).

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

264357632 is a wasteful number, since it uses less digits than its factorization.

264357632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13445 (or 13431 counting only the distinct ones).

The product of its digits is 181440, while the sum is 38.

The square root of 264357632 is about 16259.0784486698. The cubic root of 264357632 is about 641.7964112820.

The spelling of 264357632 in words is "two hundred sixty-four million, three hundred fifty-seven thousand, six hundred thirty-two".