827434608 has 320 divisors, whose sum is σ = 3041805312. Its totient is φ = 186531840.

The previous prime is 827434579. The next prime is 827434631. The reversal of 827434608 is 806434728.

It is a super-2 number, since 2×827434608² = 1369296061032227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 827434608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816310 + ... + 817322.

Almost surely, 2^827434608 is an apocalyptic number.

827434608 is a gapful number since it is divisible by the number (88) 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 827434608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520902656).

827434608 is an abundant number, since it is smaller than the sum of its proper divisors (2214370704).

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

827434608 is a wasteful number, since it uses less digits than its factorization.

827434608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 827434608 is about 28765.1630970520. The cubic root of 827434608 is about 938.8104040262.

The spelling of 827434608 in words is "eight hundred twenty-seven million, four hundred thirty-four thousand, six hundred eight".