941829120 has 264 divisors, whose sum is σ = 3388751184. Its totient is φ = 250822656.

The previous prime is 941829059. The next prime is 941829157. The reversal of 941829120 is 21928149.

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 23 ways as a sum of consecutive naturals, for example, 1243782 + ... + 1244538.

Almost surely, 2^941829120 is an apocalyptic number.

941829120 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 941829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694375592).

941829120 is an abundant number, since it is smaller than the sum of its proper divisors (2446922064).

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

941829120 is an equidigital number, since it uses as much as digits as its factorization.

941829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 941829120 is about 30689.2345945610. The cubic root of 941829120 is about 980.2210802070.

The spelling of 941829120 in words is "nine hundred forty-one million, eight hundred twenty-nine thousand, one hundred twenty".