611248 has 40 divisors (see below), whose sum is σ = 1357056. Its totient is φ = 264000.

The previous prime is 611213. The next prime is 611257. The reversal of 611248 is 842116.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3973 + ... + 4123.

2⁶¹¹²⁴⁸ 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 611248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678528).

611248 is an abundant number, since it is smaller than the sum of its proper divisors (745808).

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

611248 is a wasteful number, since it uses less digits than its factorization.

611248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 611248 is about 781.8235094956. The cubic root of 611248 is about 84.8670586219.

The spelling of 611248 in words is "six hundred eleven thousand, two hundred forty-eight".