948683904 has 192 divisors, whose sum is σ = 2961884160. Its totient is φ = 268240896.

The previous prime is 948683893. The next prime is 948683969. The reversal of 948683904 is 409386849.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×948683904² = 1800002299417362432, which contains 22 as substring.

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, 2389434 + ... + 2389830.

It is an arithmetic number, because the mean of its divisors is an integer number (15426480).

Almost surely, 2^948683904 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 948683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480942080).

948683904 is an abundant number, since it is smaller than the sum of its proper divisors (2013200256).

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

948683904 is a wasteful number, since it uses less digits than its factorization.

948683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 948683904 is about 30800.7127190265. The cubic root of 948683904 is about 982.5934030555.

The spelling of 948683904 in words is "nine hundred forty-eight million, six hundred eighty-three thousand, nine hundred four".