8920467948 has 96 divisors (see below), whose sum is σ = 24648261120. Its totient is φ = 2458160640.

The previous prime is 8920467931. The next prime is 8920467967. The reversal of 8920467948 is 8497640298.

8920467948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8920467948² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245688 + ... + 279648.

It is an arithmetic number, because the mean of its divisors is an integer number (256752720).

Almost surely, 2^8920467948 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 8920467948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324130560).

8920467948 is an abundant number, since it is smaller than the sum of its proper divisors (15727793172).

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

8920467948 is a wasteful number, since it uses less digits than its factorization.

8920467948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34087 (or 34085 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The square root of 8920467948 is about 94448.2289299275. The cubic root of 8920467948 is about 2073.9385250153.

The spelling of 8920467948 in words is "eight billion, nine hundred twenty million, four hundred sixty-seven thousand, nine hundred forty-eight".