264128760 has 192 divisors, whose sum is σ = 987180480. Its totient is φ = 59996160.

The previous prime is 264128737. The next prime is 264128783. The reversal of 264128760 is 67821462.

264128760 is a `hidden beast` number, since 2 + 641 + 2 + 8 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264128737) and next prime (264128783).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707934 + ... + 708306.

It is an arithmetic number, because the mean of its divisors is an integer number (5141565).

Almost surely, 2^264128760 is an apocalyptic number.

264128760 is a gapful number since it is divisible by the number (20) 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 264128760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493590240).

264128760 is an abundant number, since it is smaller than the sum of its proper divisors (723051720).

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

264128760 is a wasteful number, since it uses less digits than its factorization.

264128760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 264128760 is about 16252.0386413520. The cubic root of 264128760 is about 641.6111425129.

The spelling of 264128760 in words is "two hundred sixty-four million, one hundred twenty-eight thousand, seven hundred sixty".