255916032 has 96 divisors (see below), whose sum is σ = 712333440. Its totient is φ = 81551360.

The previous prime is 255916019. The next prime is 255916033. The reversal of 255916032 is 230619552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 255915984 and 255916002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255916033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140407 + ... + 142217.

It is an arithmetic number, because the mean of its divisors is an integer number (7420140).

Almost surely, 2^255916032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356166720).

255916032 is an abundant number, since it is smaller than the sum of its proper divisors (456417408).

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

255916032 is a wasteful number, since it uses less digits than its factorization.

255916032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 255916032 is about 15997.3757847967. The cubic root of 255916032 is about 634.8909908564.

The spelling of 255916032 in words is "two hundred fifty-five million, nine hundred sixteen thousand, thirty-two".