84784752 has 160 divisors (see below), whose sum is σ = 271093760. Its totient is φ = 25194240.

The previous prime is 84784751. The next prime is 84784771. The reversal of 84784752 is 25748748.

It is a junction number, because it is equal to n+sod(n) for n = 84784698 and 84784707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84784751) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 173853 + ... + 174339.

It is an arithmetic number, because the mean of its divisors is an integer number (1694336).

Almost surely, 2^84784752 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 84784752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135546880).

84784752 is an abundant number, since it is smaller than the sum of its proper divisors (186309008).

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

84784752 is a wasteful number, since it uses less digits than its factorization.

84784752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 84784752 is about 9207.8635958620. The cubic root of 84784752 is about 439.3115127876.

It can be divided in two parts, 847847 and 52, that multiplied together give a palindrome (44088044).

The spelling of 84784752 in words is "eighty-four million, seven hundred eighty-four thousand, seven hundred fifty-two".