84791952 has 180 divisors, whose sum is σ = 281991996. Its totient is φ = 23708160.

The previous prime is 84791951. The next prime is 84791953. The reversal of 84791952 is 25919748.

It is an interprime number because it is at equal distance from previous prime (84791951) and next prime (84791953).

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 40755456 = 6636^2 + 6384^2 .

Its product of digits (181440) is a multiple of the sum of its prime divisors (270).

It is a junction number, because it is equal to n+sod(n) for n = 84791898 and 84791907.

It is not an unprimeable number, because it can be changed into a prime (84791951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430318 + ... + 430514.

Almost surely, 2^84791952 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 84791952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140995998).

84791952 is an abundant number, since it is smaller than the sum of its proper divisors (197200044).

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

84791952 is a wasteful number, since it uses less digits than its factorization.

84791952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 84791952 is about 9208.2545577324. The cubic root of 84791952 is about 439.3239480163.

The spelling of 84791952 in words is "eighty-four million, seven hundred ninety-one thousand, nine hundred fifty-two".