264775104 has 252 divisors, whose sum is σ = 869548680. Its totient is φ = 76876800.

The previous prime is 264775097. The next prime is 264775109. The reversal of 264775104 is 401577462.

264775104 is a `hidden beast` number, since 2 + 647 + 7 + 5 + 1 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264775109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2021119 + ... + 2021249.

It is an arithmetic number, because the mean of its divisors is an integer number (3450590).

Almost surely, 2^264775104 is an apocalyptic number.

264775104 is a gapful number since it is divisible by the number (24) 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 264775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434774340).

264775104 is an abundant number, since it is smaller than the sum of its proper divisors (604773576).

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

264775104 is a wasteful number, since it uses less digits than its factorization.

264775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 264775104 is about 16271.9115041841. The cubic root of 264775104 is about 642.1340739577.

The spelling of 264775104 in words is "two hundred sixty-four million, seven hundred seventy-five thousand, one hundred four".