827249544 has 128 divisors (see below), whose sum is σ = 2515996800. Its totient is φ = 249765120.

The previous prime is 827249509. The next prime is 827249557. The reversal of 827249544 is 445942728.

827249544 is a `hidden beast` number, since 82 + 7 + 24 + 9 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 827249544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942834 + ... + 943710.

It is an arithmetic number, because the mean of its divisors is an integer number (19656225).

Almost surely, 2^827249544 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 827249544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257998400).

827249544 is an abundant number, since it is smaller than the sum of its proper divisors (1688747256).

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

827249544 is a wasteful number, since it uses less digits than its factorization.

827249544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1290 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 827249544 is about 28761.9461093995. The cubic root of 827249544 is about 938.7404073717.

The spelling of 827249544 in words is "eight hundred twenty-seven million, two hundred forty-nine thousand, five hundred forty-four".