934985856 has 384 divisors, whose sum is σ = 3181420800. Its totient is φ = 241532928.

The previous prime is 934985833. The next prime is 934985867. The reversal of 934985856 is 658589439.

934985856 = T₁₁₁ + T₁₁₂ + ... + T₁₇₇₆.

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

It is a junction number, because it is equal to n+sod(n) for n = 934985796 and 934985805.

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, 11835225 + ... + 11835303.

It is an arithmetic number, because the mean of its divisors is an integer number (8284950).

Almost surely, 2^934985856 is an apocalyptic number.

934985856 is a gapful number since it is divisible by the number (96) 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 934985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590710400).

934985856 is an abundant number, since it is smaller than the sum of its proper divisors (2246434944).

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

934985856 is a wasteful number, since it uses less digits than its factorization.

934985856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The square root of 934985856 is about 30577.5384228358. The cubic root of 934985856 is about 977.8412345103.

The spelling of 934985856 in words is "nine hundred thirty-four million, nine hundred eighty-five thousand, eight hundred fifty-six".