936825120 has 864 divisors, whose sum is σ = 4356084096. Its totient is φ = 180633600.

The previous prime is 936825107. The next prime is 936825143. The reversal of 936825120 is 21528639.

936825120 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13194685 + ... + 13194755.

It is an arithmetic number, because the mean of its divisors is an integer number (5041764).

Almost surely, 2^936825120 is an apocalyptic number.

936825120 is a gapful number since it is divisible by the number (90) 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 936825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178042048).

936825120 is an abundant number, since it is smaller than the sum of its proper divisors (3419258976).

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

936825120 is a wasteful number, since it uses less digits than its factorization.

936825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 936825120 is about 30607.5990564435. The cubic root of 936825120 is about 978.4820036157.

The spelling of 936825120 in words is "nine hundred thirty-six million, eight hundred twenty-five thousand, one hundred twenty".