936481920 has 384 divisors, whose sum is σ = 3418632000. Its totient is φ = 217620480.

The previous prime is 936481919. The next prime is 936481957. The reversal of 936481920 is 29184639.

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

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, 6737211 + ... + 6737349.

Almost surely, 2^936481920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 936481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709316000).

936481920 is an abundant number, since it is smaller than the sum of its proper divisors (2482150080).

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

936481920 is a wasteful number, since it uses less digits than its factorization.

936481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 936481920 is about 30601.9920920191. The cubic root of 936481920 is about 978.3625021091.

The spelling of 936481920 in words is "nine hundred thirty-six million, four hundred eighty-one thousand, nine hundred twenty".