836164080 has 160 divisors (see below), whose sum is σ = 3005521920. Its totient is φ = 213269760.

The previous prime is 836164079. The next prime is 836164117. The reversal of 836164080 is 80461638.

It is a happy number.

836164080 is a `hidden beast` number, since 8 + 3 + 6 + 1 + 640 + 8 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41265 + ... + 58095.

It is an arithmetic number, because the mean of its divisors is an integer number (18784512).

Almost surely, 2^836164080 is an apocalyptic number.

836164080 is a gapful number since it is divisible by the number (80) 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 836164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502760960).

836164080 is an abundant number, since it is smaller than the sum of its proper divisors (2169357840).

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

836164080 is a wasteful number, since it uses less digits than its factorization.

836164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 16864 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 836164080 is about 28916.5018631231. The cubic root of 836164080 is about 942.1003584910.

The spelling of 836164080 in words is "eight hundred thirty-six million, one hundred sixty-four thousand, eighty".