255642720 has 96 divisors (see below), whose sum is σ = 847687680. Its totient is φ = 64581120.

The previous prime is 255642703. The next prime is 255642773. The reversal of 255642720 is 27246552.

255642720 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 (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4896 + ... + 23135.

It is an arithmetic number, because the mean of its divisors is an integer number (8830080).

Almost surely, 2^255642720 is an apocalyptic number.

255642720 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 255642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423843840).

255642720 is an abundant number, since it is smaller than the sum of its proper divisors (592044960).

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

255642720 is a wasteful number, since it uses less digits than its factorization.

255642720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28068 (or 28060 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 255642720 is about 15988.8311017410. The cubic root of 255642720 is about 634.6648943842.

The spelling of 255642720 in words is "two hundred fifty-five million, six hundred forty-two thousand, seven hundred twenty".