661248 has 108 divisors (see below), whose sum is σ = 2232048. Its totient is φ = 184320.

The previous prime is 661237. The next prime is 661253. The reversal of 661248 is 842166.

661248 is a `hidden beast` number, since 6 + 612 + 48 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16108 + ... + 16148.

2⁶⁶¹²⁴⁸ 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 661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116024).

661248 is an abundant number, since it is smaller than the sum of its proper divisors (1570800).

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

661248 is a wasteful number, since it uses less digits than its factorization.

661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 661248 is about 813.1715686127. The cubic root of 661248 is about 87.1207202444.

It can be divided in two parts, 661 and 248, that added together give a palindrome (909).

The spelling of 661248 in words is "six hundred sixty-one thousand, two hundred forty-eight".