827433090 has 384 divisors, whose sum is σ = 2696601600. Its totient is φ = 179625600.

The previous prime is 827433043. The next prime is 827433091. The reversal of 827433090 is 90334728.

It is not an unprimeable number, because it can be changed into a prime (827433091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19242609 + ... + 19242651.

It is an arithmetic number, because the mean of its divisors is an integer number (7022400).

Almost surely, 2^827433090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827433090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348300800).

827433090 is an abundant number, since it is smaller than the sum of its proper divisors (1869168510).

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

827433090 is a wasteful number, since it uses less digits than its factorization.

827433090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 827433090 is about 28765.1367109562. The cubic root of 827433090 is about 938.8098299164.

The spelling of 827433090 in words is "eight hundred twenty-seven million, four hundred thirty-three thousand, ninety".