948240144 has 360 divisors, whose sum is σ = 3150702360. Its totient is φ = 264757248.

The previous prime is 948240133. The next prime is 948240151. The reversal of 948240144 is 441042849.

It can be written as a sum of positive squares in 4 ways, for example, as 469155600 + 479084544 = 21660^2 + 21888^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 948240099 and 948240108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25628094 + ... + 25628130.

It is an arithmetic number, because the mean of its divisors is an integer number (8751951).

Almost surely, 2^948240144 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 948240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575351180).

948240144 is an abundant number, since it is smaller than the sum of its proper divisors (2202462216).

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

948240144 is a wasteful number, since it uses less digits than its factorization.

948240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 948240144 is about 30793.5081470105. The cubic root of 948240144 is about 982.4401719489.

The spelling of 948240144 in words is "nine hundred forty-eight million, two hundred forty thousand, one hundred forty-four".