948672000 has 480 divisors, whose sum is σ = 3601581984. Its totient is φ = 248832000.

The previous prime is 948671987. The next prime is 948672031. The reversal of 948672000 is 276849.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15551970 + ... + 15552030.

Almost surely, 2^948672000 is an apocalyptic number.

948672000 is a gapful number since it is divisible by the number (90) 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 948672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800790992).

948672000 is an abundant number, since it is smaller than the sum of its proper divisors (2652909984).

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

948672000 is an frugal number, since it uses more digits than its factorization.

948672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 948672000 is about 30800.5194761387. The cubic root of 948672000 is about 982.5892932072.

The spelling of 948672000 in words is "nine hundred forty-eight million, six hundred seventy-two thousand".