84946752 has 224 divisors, whose sum is σ = 281635200. Its totient is φ = 24883200.

The previous prime is 84946723. The next prime is 84946753. The reversal of 84946752 is 25764948.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 84946698 and 84946707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84946753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779274 + ... + 779382.

It is an arithmetic number, because the mean of its divisors is an integer number (1257300).

Almost surely, 2^84946752 is an apocalyptic number.

84946752 is a gapful number since it is divisible by the number (82) 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 84946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140817600).

84946752 is an abundant number, since it is smaller than the sum of its proper divisors (196688448).

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

84946752 is a wasteful number, since it uses less digits than its factorization.

84946752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 84946752 is about 9216.6562266366. The cubic root of 84946752 is about 439.5911353367.

The spelling of 84946752 in words is "eighty-four million, nine hundred forty-six thousand, seven hundred fifty-two".