836406144 has 384 divisors, whose sum is σ = 2978726400. Its totient is φ = 219967488.

The previous prime is 836406121. The next prime is 836406157. The reversal of 836406144 is 441604638.

836406144 is a `hidden beast` number, since 8 + 3 + 640 + 6 + 1 + 4 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 836406099 and 836406108.

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 47 ways as a sum of consecutive naturals, for example, 8120397 + ... + 8120499.

It is an arithmetic number, because the mean of its divisors is an integer number (7757100).

Almost surely, 2^836406144 is an apocalyptic number.

836406144 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 836406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489363200).

836406144 is an abundant number, since it is smaller than the sum of its proper divisors (2142320256).

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

836406144 is a wasteful number, since it uses less digits than its factorization.

836406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 836406144 is about 28920.6871287665. The cubic root of 836406144 is about 942.1912603383.

The spelling of 836406144 in words is "eight hundred thirty-six million, four hundred six thousand, one hundred forty-four".