84399952 has 100 divisors (see below), whose sum is σ = 206657780. Its totient is φ = 33388992.

The previous prime is 84399941. The next prime is 84399983. The reversal of 84399952 is 25999348.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 81288256 = 1764^2 + 9016^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 84399896 and 84399905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6492298 + ... + 6492310.

Almost surely, 2^84399952 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 84399952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103328890).

84399952 is an abundant number, since it is smaller than the sum of its proper divisors (122257828).

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

84399952 is an frugal number, since it uses more digits than its factorization.

84399952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 22 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The square root of 84399952 is about 9186.9446498822. The cubic root of 84399952 is about 438.6458920799.

The spelling of 84399952 in words is "eighty-four million, three hundred ninety-nine thousand, nine hundred fifty-two".