948795120 has 400 divisors, whose sum is σ = 4058281920. Its totient is φ = 200060928.

The previous prime is 948795097. The next prime is 948795131. The reversal of 948795120 is 21597849.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 588876 + ... + 590484.

Almost surely, 2^948795120 is an apocalyptic number.

948795120 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 948795120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029140960).

948795120 is an abundant number, since it is smaller than the sum of its proper divisors (3109486800).

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

948795120 is a wasteful number, since it uses less digits than its factorization.

948795120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 948795120 is about 30802.5180788844. The cubic root of 948795120 is about 982.6317986466.

It can be divided in two parts, 94879 and 5120, that added together give a palindrome (99999).

The spelling of 948795120 in words is "nine hundred forty-eight million, seven hundred ninety-five thousand, one hundred twenty".