832616064 has 256 divisors, whose sum is σ = 2840985600. Its totient is φ = 235146240.

The previous prime is 832616051. The next prime is 832616101. The reversal of 832616064 is 460616238.

832616064 is a `hidden beast` number, since 8 + 32 + 616 + 0 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072249 + ... + 3072519.

It is an arithmetic number, because the mean of its divisors is an integer number (11097600).

Almost surely, 2^832616064 is an apocalyptic number.

832616064 is a gapful number since it is divisible by the number (84) 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 832616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420492800).

832616064 is an abundant number, since it is smaller than the sum of its proper divisors (2008369536).

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

832616064 is a wasteful number, since it uses less digits than its factorization.

832616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 832616064 is about 28855.0873157577. The cubic root of 832616064 is about 940.7659608676.

The spelling of 832616064 in words is "eight hundred thirty-two million, six hundred sixteen thousand, sixty-four".