834632064 has 384 divisors, whose sum is σ = 2940537600. Its totient is φ = 222179328.

The previous prime is 834632059. The next prime is 834632081. The reversal of 834632064 is 460236438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×834632064² = 1393221364513800192, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10055767 + ... + 10055849.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2^834632064 is an apocalyptic number.

834632064 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 834632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470268800).

834632064 is an abundant number, since it is smaller than the sum of its proper divisors (2105905536).

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

834632064 is a wasteful number, since it uses less digits than its factorization.

834632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 834632064 is about 28889.9993769470. Note that the first 3 decimals coincide. The cubic root of 834632064 is about 941.5246360809.

Adding to 834632064 its sum of digits (36), we get a square (834632100 = 28890²).

The spelling of 834632064 in words is "eight hundred thirty-four million, six hundred thirty-two thousand, sixty-four".