934586016 has 576 divisors, whose sum is σ = 3474938880. Its totient is φ = 216760320.

The previous prime is 934586011. The next prime is 934586039. The reversal of 934586016 is 610685439.

934586016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (934586011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30147921 + ... + 30147951.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^934586016 is an apocalyptic number.

934586016 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 934586016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

934586016 is an abundant number, since it is smaller than the sum of its proper divisors (2540352864).

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

934586016 is a wasteful number, since it uses less digits than its factorization.

934586016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 934586016 is about 30570.9995911158. Note that the first 3 decimals coincide. The cubic root of 934586016 is about 977.7018257042.

The spelling of 934586016 in words is "nine hundred thirty-four million, five hundred eighty-six thousand, sixteen".