836427120 has 320 divisors, whose sum is σ = 2893148160. Its totient is φ = 199065600.

The previous prime is 836427113. The next prime is 836427121. The reversal of 836427120 is 21724638.

It is a super-2 number, since 2×836427120² = 1399220654142988800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (836427121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8622912 + ... + 8623008.

It is an arithmetic number, because the mean of its divisors is an integer number (9041088).

Almost surely, 2^836427120 is an apocalyptic number.

836427120 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 836427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446574080).

836427120 is an abundant number, since it is smaller than the sum of its proper divisors (2056721040).

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

836427120 is a wasteful number, since it uses less digits than its factorization.

836427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 836427120 is about 28921.0497734781. The cubic root of 836427120 is about 942.1991365911.

The spelling of 836427120 in words is "eight hundred thirty-six million, four hundred twenty-seven thousand, one hundred twenty".