827169336 has 96 divisors (see below), whose sum is σ = 2629542240. Its totient is φ = 229941504.

The previous prime is 827169319. The next prime is 827169341. The reversal of 827169336 is 633961728.

It is a super-2 number, since 2×827169336² = 1368418220837361792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 827169291 and 827169300.

It is a congruent number.

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, 3531 + ... + 40826.

It is an arithmetic number, because the mean of its divisors is an integer number (27391065).

Almost surely, 2^827169336 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 827169336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314771120).

827169336 is an abundant number, since it is smaller than the sum of its proper divisors (1802372904).

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

827169336 is a wasteful number, since it uses less digits than its factorization.

827169336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44413 (or 44406 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 827169336 is about 28760.5517332335. The cubic root of 827169336 is about 938.7100671015.

The spelling of 827169336 in words is "eight hundred twenty-seven million, one hundred sixty-nine thousand, three hundred thirty-six".