948816 has 60 divisors (see below), whose sum is σ = 2901600. Its totient is φ = 287040.

The previous prime is 948799. The next prime is 948839. The reversal of 948816 is 618849.

It is a happy number.

948816 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

948816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2⁹⁴⁸⁸¹⁶ 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 948816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450800).

948816 is an abundant number, since it is smaller than the sum of its proper divisors (1952784).

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

948816 is a wasteful number, since it uses less digits than its factorization.

948816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 948816 is about 974.0718659319. The cubic root of 948816 is about 98.2639006807.

It can be divided in two parts, 948 and 816, that added together give a square (1764 = 42²).

The spelling of 948816 in words is "nine hundred forty-eight thousand, eight hundred sixteen".