948859920 has 200 divisors, whose sum is σ = 3317834520. Its totient is φ = 251320320.

The previous prime is 948859907. The next prime is 948859937. The reversal of 948859920 is 29958849.

948859920 is a `hidden beast` number, since 9 + 48 + 8 + 599 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 912281616 = 6048^2 + 30204^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1172476 + ... + 1173284.

Almost surely, 2^948859920 is an apocalyptic number.

948859920 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 948859920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658917260).

948859920 is an abundant number, since it is smaller than the sum of its proper divisors (2368974600).

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

948859920 is a wasteful number, since it uses less digits than its factorization.

948859920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 948859920 is about 30803.5699229813. The cubic root of 948859920 is about 982.6541684536.

The spelling of 948859920 in words is "nine hundred forty-eight million, eight hundred fifty-nine thousand, nine hundred twenty".