948208000 has 64 divisors (see below), whose sum is σ = 2357521920. Its totient is φ = 379276800.

The previous prime is 948207989. The next prime is 948208003. The reversal of 948208000 is 802849.

948208000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×948208000² = 1798196822528000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948208003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13632 + ... + 45631.

It is an arithmetic number, because the mean of its divisors is an integer number (36836280).

Almost surely, 2^948208000 is an apocalyptic number.

It is an amenable number.

948208000 is an abundant number, since it is smaller than the sum of its proper divisors (1409313920).

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

948208000 is an equidigital number, since it uses as much as digits as its factorization.

948208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59292 (or 59270 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 948208000 is about 30792.9862143963. The cubic root of 948208000 is about 982.4290707126.

The spelling of 948208000 in words is "nine hundred forty-eight million, two hundred eight thousand".