948165120 has 240 divisors, whose sum is σ = 3753509760. Its totient is φ = 216686592.

The previous prime is 948165107. The next prime is 948165143. The reversal of 948165120 is 21561849.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×948165120² = 1798034189569228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158341 + ... + 164219.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2^948165120 is an apocalyptic number.

948165120 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 948165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876754880).

948165120 is an abundant number, since it is smaller than the sum of its proper divisors (2805344640).

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

948165120 is a wasteful number, since it uses less digits than its factorization.

948165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 948165120 is about 30792.2899440753. The cubic root of 948165120 is about 982.4142613059.

The spelling of 948165120 in words is "nine hundred forty-eight million, one hundred sixty-five thousand, one hundred twenty".