84961248 has 48 divisors (see below), whose sum is σ = 224663040. Its totient is φ = 28112256.

The previous prime is 84961243. The next prime is 84961267. The reversal of 84961248 is 84216948.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84961243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10161 + ... + 16527.

It is an arithmetic number, because the mean of its divisors is an integer number (4680480).

Almost surely, 2^84961248 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 84961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112331520).

84961248 is an abundant number, since it is smaller than the sum of its proper divisors (139701792).

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

84961248 is a wasteful number, since it uses less digits than its factorization.

84961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6511 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 84961248 is about 9217.4425954274. The cubic root of 84961248 is about 439.6161390420.

The spelling of 84961248 in words is "eighty-four million, nine hundred sixty-one thousand, two hundred forty-eight".