827630538 has 64 divisors (see below), whose sum is σ = 1995386880. Its totient is φ = 223560000.

The previous prime is 827630537. The next prime is 827630561. The reversal of 827630538 is 835036728.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 827630538.

It is not an unprimeable number, because it can be changed into a prime (827630537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598608 + ... + 599988.

It is an arithmetic number, because the mean of its divisors is an integer number (31177920).

Almost surely, 2^827630538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827630538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997693440).

827630538 is an abundant number, since it is smaller than the sum of its proper divisors (1167756342).

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

827630538 is a wasteful number, since it uses less digits than its factorization.

827630538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 827630538 is about 28768.5685775292. The cubic root of 827630538 is about 938.8844991486.

The spelling of 827630538 in words is "eight hundred twenty-seven million, six hundred thirty thousand, five hundred thirty-eight".