948973536 has 384 divisors, whose sum is σ = 3353011200. Its totient is φ = 255467520.

The previous prime is 948973483. The next prime is 948973559. The reversal of 948973536 is 635379849.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10662580 + ... + 10662668.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2^948973536 is an apocalyptic number.

948973536 is a gapful number since it is divisible by the number (96) 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 948973536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676505600).

948973536 is an abundant number, since it is smaller than the sum of its proper divisors (2404037664).

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

948973536 is a wasteful number, since it uses less digits than its factorization.

948973536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 948973536 is about 30805.4140696080. The cubic root of 948973536 is about 982.6933877236.

The spelling of 948973536 in words is "nine hundred forty-eight million, nine hundred seventy-three thousand, five hundred thirty-six".