948129672 has 64 divisors (see below), whose sum is σ = 2713236480. Its totient is φ = 270464832.

The previous prime is 948129653. The next prime is 948129673. The reversal of 948129672 is 276921849.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (948129673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110613 + ... + 118875.

It is an arithmetic number, because the mean of its divisors is an integer number (42394320).

Almost surely, 2^948129672 is an apocalyptic number.

It is an amenable number.

948129672 is an abundant number, since it is smaller than the sum of its proper divisors (1765106808).

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

948129672 is a wasteful number, since it uses less digits than its factorization.

948129672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8958 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 948129672 is about 30791.7143400623. The cubic root of 948129672 is about 982.4020183418.

The spelling of 948129672 in words is "nine hundred forty-eight million, one hundred twenty-nine thousand, six hundred seventy-two".