827450064 has 90 divisors (see below), whose sum is σ = 2693809170. Its totient is φ = 236412288.

The previous prime is 827450053. The next prime is 827450083. The reversal of 827450064 is 460054728.

827450064 is a `hidden beast` number, since 82 + 74 + 500 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 806105664 + 21344400 = 28392^2 + 4620^2 .

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51579 + ... + 65690.

It is an arithmetic number, because the mean of its divisors is an integer number (29931213).

Almost surely, 2^827450064 is an apocalyptic number.

827450064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

827450064 is an abundant number, since it is smaller than the sum of its proper divisors (1866359106).

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

827450064 is a wasteful number, since it uses less digits than its factorization.

827450064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117297 (or 117281 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 827450064 is about 28765.4317541037. The cubic root of 827450064 is about 938.8162494683.

The spelling of 827450064 in words is "eight hundred twenty-seven million, four hundred fifty thousand, sixty-four".