827124660 has 144 divisors (see below), whose sum is σ = 2612085840. Its totient is φ = 211599360.

The previous prime is 827124601. The next prime is 827124679. The reversal of 827124660 is 66421728.

It can be written as a sum of positive squares in 8 ways, for example, as 77898276 + 749226384 = 8826^2 + 27372^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007050 + ... + 1007870.

It is an arithmetic number, because the mean of its divisors is an integer number (18139485).

Almost surely, 2^827124660 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 827124660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306042920).

827124660 is an abundant number, since it is smaller than the sum of its proper divisors (1784961180).

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

827124660 is a wasteful number, since it uses less digits than its factorization.

827124660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 827124660 is about 28759.7750338907. The cubic root of 827124660 is about 938.6931666660.

The spelling of 827124660 in words is "eight hundred twenty-seven million, one hundred twenty-four thousand, six hundred sixty".