836424960 has 432 divisors, whose sum is σ = 3247310976. Its totient is φ = 179601408.

The previous prime is 836424893. The next prime is 836424961. The reversal of 836424960 is 69424638.

It is a happy number.

It is a super-2 number, since 2×836424960² = 1399213427422003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (836424961) by changing a digit.

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, 22606062 + ... + 22606098.

Almost surely, 2^836424960 is an apocalyptic number.

836424960 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 836424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623655488).

836424960 is an abundant number, since it is smaller than the sum of its proper divisors (2410886016).

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

836424960 is a wasteful number, since it uses less digits than its factorization.

836424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 836424960 is about 28921.0124304112. The cubic root of 836424960 is about 942.1983255414.

The spelling of 836424960 in words is "eight hundred thirty-six million, four hundred twenty-four thousand, nine hundred sixty".