948119040 has 640 divisors, whose sum is σ = 3889036800. Its totient is φ = 216760320.

The previous prime is 948119023. The next prime is 948119059. The reversal of 948119040 is 40911849.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 948118986 and 948119004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22049259 + ... + 22049301.

It is an arithmetic number, because the mean of its divisors is an integer number (6076620).

Almost surely, 2^948119040 is an apocalyptic number.

948119040 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 948119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944518400).

948119040 is an abundant number, since it is smaller than the sum of its proper divisors (2940917760).

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

948119040 is a wasteful number, since it uses less digits than its factorization.

948119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

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

The square root of 948119040 is about 30791.5416957320. The cubic root of 948119040 is about 982.3983462219.

The spelling of 948119040 in words is "nine hundred forty-eight million, one hundred nineteen thousand, forty".