264555648 has 192 divisors, whose sum is σ = 887889600. Its totient is φ = 74041344.

The previous prime is 264555623. The next prime is 264555667. The reversal of 264555648 is 846555462.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427083 + ... + 427701.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 2^264555648 is an apocalyptic number.

264555648 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 264555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443944800).

264555648 is an abundant number, since it is smaller than the sum of its proper divisors (623333952).

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

264555648 is a wasteful number, since it uses less digits than its factorization.

264555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 264555648 is about 16265.1667068001. The cubic root of 264555648 is about 641.9566162782.

The spelling of 264555648 in words is "two hundred sixty-four million, five hundred fifty-five thousand, six hundred forty-eight".