936434016 has 144 divisors (see below), whose sum is σ = 3108478464. Its totient is φ = 261833472.

The previous prime is 936434011. The next prime is 936434021. The reversal of 936434016 is 610434639.

936434016 is a `hidden beast` number, since 9 + 3 + 643 + 4 + 0 + 1 + 6 = 666.

936434016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (936434011) and next prime (936434021).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (936434011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89811 + ... + 99693.

It is an arithmetic number, because the mean of its divisors is an integer number (21586656).

Almost surely, 2^936434016 is an apocalyptic number.

936434016 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 936434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554239232).

936434016 is an abundant number, since it is smaller than the sum of its proper divisors (2172044448).

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

936434016 is a wasteful number, since it uses less digits than its factorization.

936434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 936434016 is about 30601.2093878657. The cubic root of 936434016 is about 978.3458197167.

The spelling of 936434016 in words is "nine hundred thirty-six million, four hundred thirty-four thousand, sixteen".