948384 has 72 divisors (see below), whose sum is σ = 2800980. Its totient is φ = 304128.

The previous prime is 948377. The next prime is 948391. The reversal of 948384 is 483849.

It is an interprime number because it is at equal distance from previous prime (948377) and next prime (948391).

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 3600 = 972^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×948384² = 1798864422912, which contains 22 as substring.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 948384.

It is an unprimeable number.

948384 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, 10612 + ... + 10700.

2⁹⁴⁸³⁸⁴ 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 948384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400490).

948384 is an abundant number, since it is smaller than the sum of its proper divisors (1852596).

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

948384 is a wasteful number, since it uses less digits than its factorization.

948384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 948384 is about 973.8500911331. The cubic root of 948384 is about 98.2489850914.

The spelling of 948384 in words is "nine hundred forty-eight thousand, three hundred eighty-four".