210048 has 32 divisors (see below), whose sum is σ = 558960. Its totient is φ = 69888.

The previous prime is 210037. The next prime is 210053. The reversal of 210048 is 840012.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

It is an unprimeable number.

210048 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 3 ways as a sum of consecutive naturals, for example, 111 + ... + 657.

2²¹⁰⁰⁴⁸ 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 210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279480).

210048 is an abundant number, since it is smaller than the sum of its proper divisors (348912).

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

210048 is an equidigital number, since it uses as much as digits as its factorization.

210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 210048 is about 458.3099387969. The cubic root of 210048 is about 59.4437478851.

It can be divided in two parts, 21004 and 8, that added together give a palindrome (21012).

The spelling of 210048 in words is "two hundred ten thousand, forty-eight".