264615552 has 128 divisors (see below), whose sum is σ = 815184000. Its totient is φ = 84344832.

The previous prime is 264615541. The next prime is 264615553. The reversal of 264615552 is 255516462.

264615552 is a `hidden beast` number, since 2 + 646 + 1 + 5 + 5 + 5 + 2 = 666.

264615552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 (264615553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77824 + ... + 81152.

It is an arithmetic number, because the mean of its divisors is an integer number (6368625).

Almost surely, 2^264615552 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 264615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407592000).

264615552 is an abundant number, since it is smaller than the sum of its proper divisors (550568448).

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

264615552 is a wasteful number, since it uses less digits than its factorization.

264615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3357 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 264615552 is about 16267.0080838487. The cubic root of 264615552 is about 642.0050659046.

The spelling of 264615552 in words is "two hundred sixty-four million, six hundred fifteen thousand, five hundred fifty-two".