827598240 has 432 divisors, whose sum is σ = 3384704232. Its totient is φ = 183472128.

The previous prime is 827598221. The next prime is 827598311. The reversal of 827598240 is 42895728.

It can be written as a sum of positive squares in 4 ways, for example, as 630813456 + 196784784 = 25116^2 + 14028^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2610562 + ... + 2610878.

Almost surely, 2^827598240 is an apocalyptic number.

827598240 is a gapful number since it is divisible by the number (80) 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 827598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692352116).

827598240 is an abundant number, since it is smaller than the sum of its proper divisors (2557105992).

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

827598240 is a wasteful number, since it uses less digits than its factorization.

827598240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 827598240 is about 28768.0072302549. The cubic root of 827598240 is about 938.8722857738.

The spelling of 827598240 in words is "eight hundred twenty-seven million, five hundred ninety-eight thousand, two hundred forty".