827523360 has 144 divisors (see below), whose sum is σ = 2884242816. Its totient is φ = 215960064.

The previous prime is 827523349. The next prime is 827523379. The reversal of 827523360 is 63325728.

827523360 is a `hidden beast` number, since 8 + 275 + 23 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×827523360² = 1369589822691379200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61567 + ... + 73793.

It is an arithmetic number, because the mean of its divisors is an integer number (20029464).

Almost surely, 2^827523360 is an apocalyptic number.

827523360 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 827523360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442121408).

827523360 is an abundant number, since it is smaller than the sum of its proper divisors (2056719456).

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

827523360 is a wasteful number, since it uses less digits than its factorization.

827523360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 827523360 is about 28766.7057550912. The cubic root of 827523360 is about 938.8439689433.

The spelling of 827523360 in words is "eight hundred twenty-seven million, five hundred twenty-three thousand, three hundred sixty".