948200120 has 64 divisors (see below), whose sum is σ = 2462443200. Its totient is φ = 321868800.

The previous prime is 948200119. The next prime is 948200129. The reversal of 948200120 is 21002849.

It is a self number, because there is not a number n which added to its sum of digits gives 948200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948200129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11516 + ... + 45044.

It is an arithmetic number, because the mean of its divisors is an integer number (38475675).

Almost surely, 2^948200120 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 948200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231221600).

948200120 is an abundant number, since it is smaller than the sum of its proper divisors (1514243080).

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

948200120 is a wasteful number, since it uses less digits than its factorization.

948200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33648 (or 33644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 948200120 is about 30792.8582629154. The cubic root of 948200120 is about 982.4263492413.

Adding to 948200120 its reverse (21002849), we get a palindrome (969202969).

The spelling of 948200120 in words is "nine hundred forty-eight million, two hundred thousand, one hundred twenty".