949605120 has 432 divisors, whose sum is σ = 3535564032. Its totient is φ = 243855360.

The previous prime is 949605109. The next prime is 949605121. The reversal of 949605120 is 21506949.

949605120 is a `hidden beast` number, since 9 + 49 + 605 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (949605121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13374685 + ... + 13374755.

It is an arithmetic number, because the mean of its divisors is an integer number (8184176).

Almost surely, 2^949605120 is an apocalyptic number.

949605120 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 949605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767782016).

949605120 is an abundant number, since it is smaller than the sum of its proper divisors (2585958912).

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

949605120 is an equidigital number, since it uses as much as digits as its factorization.

949605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 949605120 is about 30815.6635495652. The cubic root of 949605120 is about 982.9113480625.

The spelling of 949605120 in words is "nine hundred forty-nine million, six hundred five thousand, one hundred twenty".