519948 has 72 divisors (see below), whose sum is σ = 1559376. Its totient is φ = 144000.

The previous prime is 519947. The next prime is 519971. The reversal of 519948 is 849915.

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

Its product of digits (12960) is a multiple of the sum of its prime factors (135).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (519943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5098 + ... + 5198.

It is an arithmetic number, because the mean of its divisors is an integer number (21658).

2⁵¹⁹⁹⁴⁸ 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 519948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779688).

519948 is an abundant number, since it is smaller than the sum of its proper divisors (1039428).

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

519948 is a wasteful number, since it uses less digits than its factorization.

519948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 519948 is about 721.0741986786. The cubic root of 519948 is about 80.4118345986.

It can be divided in two parts, 51 and 9948, that added together give a palindrome (9999).

The spelling of 519948 in words is "five hundred nineteen thousand, nine hundred forty-eight".