255734064 has 160 divisors (see below), whose sum is σ = 770040000. Its totient is φ = 81156096.

The previous prime is 255734051. The next prime is 255734081. The reversal of 255734064 is 460437552.

255734064 is a `hidden beast` number, since 2 + 557 + 3 + 40 + 64 = 666.

255734064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255734064² = 130799822979912192, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716262 + ... + 1716410.

It is an arithmetic number, because the mean of its divisors is an integer number (4812750).

Almost surely, 2^255734064 is an apocalyptic number.

255734064 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 255734064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385020000).

255734064 is an abundant number, since it is smaller than the sum of its proper divisors (514305936).

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

255734064 is a wasteful number, since it uses less digits than its factorization.

255734064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 255734064 is about 15991.6873406154. The cubic root of 255734064 is about 634.7404763353.

The spelling of 255734064 in words is "two hundred fifty-five million, seven hundred thirty-four thousand, sixty-four".