84805248 has 128 divisors (see below), whose sum is σ = 260418240. Its totient is φ = 24166400.

The previous prime is 84805241. The next prime is 84805267. The reversal of 84805248 is 84250848.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (84805241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71218 + ... + 72398.

Almost surely, 2^84805248 is an apocalyptic number.

84805248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130209120).

84805248 is an abundant number, since it is smaller than the sum of its proper divisors (175612992).

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

84805248 is a wasteful number, since it uses less digits than its factorization.

84805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 84805248 is about 9208.9764903598. The cubic root of 84805248 is about 439.3469098886.

The spelling of 84805248 in words is "eighty-four million, eight hundred five thousand, two hundred forty-eight".