961248 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 276480.

The previous prime is 961243. The next prime is 961273. The reversal of 961248 is 842169.

961248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (3456) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961241) by changing a digit.

961248 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 15 ways as a sum of consecutive naturals, for example, 30993 + ... + 31023.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁹⁶¹²⁴⁸ 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 961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

961248 is an abundant number, since it is smaller than the sum of its proper divisors (1941792).

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

961248 is a wasteful number, since it uses less digits than its factorization.

961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 961248 is about 980.4325575989. The cubic root of 961248 is about 98.6912121385.

It can be divided in two parts, 961 and 248, that multiplied together give a cube (238328 = 62³).

The spelling of 961248 in words is "nine hundred sixty-one thousand, two hundred forty-eight".