613248 has 32 divisors (see below), whose sum is σ = 1629960. Its totient is φ = 204288.

The previous prime is 613247. The next prime is 613253. The reversal of 613248 is 842316.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 415 + ... + 1182.

2⁶¹³²⁴⁸ is an apocalyptic number.

It is an amenable number.

613248 is an abundant number, since it is smaller than the sum of its proper divisors (1016712).

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

613248 is a wasteful number, since it uses less digits than its factorization.

613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1602 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 613248 is about 783.1015259850. The cubic root of 613248 is about 84.9595193634.

613248 divided by its sum of digits (24) gives a palindrome (25552).

It can be divided in two parts, 613 and 248, that added together give a triangular number (861 = T₄₁).

The spelling of 613248 in words is "six hundred thirteen thousand, two hundred forty-eight".