948948066 has 72 divisors (see below), whose sum is σ = 2270661120. Its totient is φ = 286199760.

The previous prime is 948948061. The next prime is 948948127. The reversal of 948948066 is 660849849.

948948066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (948948061) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519631 + ... + 521453.

It is an arithmetic number, because the mean of its divisors is an integer number (31536960).

Almost surely, 2^948948066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948948066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135330560).

948948066 is an abundant number, since it is smaller than the sum of its proper divisors (1321713054).

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

948948066 is a wasteful number, since it uses less digits than its factorization.

948948066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 948948066 is about 30805.0006654764. Note that the first 3 decimals coincide. The cubic root of 948948066 is about 982.6845959700.

It can be divided in two parts, 9489480 and 66, that added together give a triangular number (9489546 = T₄₃₅₆).

The spelling of 948948066 in words is "nine hundred forty-eight million, nine hundred forty-eight thousand, sixty-six".