255630672 has 120 divisors (see below), whose sum is σ = 791788608. Its totient is φ = 76339200.

The previous prime is 255630667. The next prime is 255630677. The reversal of 255630672 is 276036552.

It is a happy number.

255630672 is a `hidden beast` number, since 2 + 556 + 30 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (255630667) and next prime (255630677).

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 (255630677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111328 + ... + 113600.

Almost surely, 2^255630672 is an apocalyptic number.

255630672 is a gapful number since it is divisible by the number (22) 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 255630672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395894304).

255630672 is an abundant number, since it is smaller than the sum of its proper divisors (536157936).

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

255630672 is a wasteful number, since it uses less digits than its factorization.

255630672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 255630672 is about 15988.4543343001. The cubic root of 255630672 is about 634.6549240073.

The spelling of 255630672 in words is "two hundred fifty-five million, six hundred thirty thousand, six hundred seventy-two".