948672 has 84 divisors (see below), whose sum is σ = 2866136. Its totient is φ = 311040.

The previous prime is 948671. The next prime is 948707. The reversal of 948672 is 276849.

948672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15522 + ... + 15582.

2⁹⁴⁸⁶⁷² 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 948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433068).

948672 is an abundant number, since it is smaller than the sum of its proper divisors (1917464).

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

948672 is an equidigital number, since it uses as much as digits as its factorization.

948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

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

The square root of 948672 is about 973.9979466097. The cubic root of 948672 is about 98.2589293207.

The spelling of 948672 in words is "nine hundred forty-eight thousand, six hundred seventy-two".