6961248 has 96 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 1987200.

The previous prime is 6961231. The next prime is 6961271. The reversal of 6961248 is 8421696.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5473 + ... + 6623.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^6961248 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 6961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

6961248 is an abundant number, since it is smaller than the sum of its proper divisors (16263072).

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

6961248 is a wasteful number, since it uses less digits than its factorization.

6961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6961248 is about 2638.4177076422. The cubic root of 6961248 is about 190.9394652969.

The spelling of 6961248 in words is "six million, nine hundred sixty-one thousand, two hundred forty-eight".