84661248 has 176 divisors, whose sum is σ = 268304384. Its totient is φ = 23224320.

The previous prime is 84661231. The next prime is 84661253. The reversal of 84661248 is 84216648.

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, 666561 + ... + 666687.

Almost surely, 2^84661248 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 84661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134152192).

84661248 is an abundant number, since it is smaller than the sum of its proper divisors (183643136).

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

84661248 is a wasteful number, since it uses less digits than its factorization.

84661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 84661248 is about 9201.1547101437. The cubic root of 84661248 is about 439.0980974663.

The spelling of 84661248 in words is "eighty-four million, six hundred sixty-one thousand, two hundred forty-eight".