84145632 has 48 divisors (see below), whose sum is σ = 221859792. Its totient is φ = 27924480.

The previous prime is 84145627. The next prime is 84145637. The reversal of 84145632 is 23654148.

It is an interprime number because it is at equal distance from previous prime (84145627) and next prime (84145637).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 84145593 and 84145602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84145637) 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 7 ways as a sum of consecutive naturals, for example, 21318 + ... + 24954.

It is an arithmetic number, because the mean of its divisors is an integer number (4622079).

Almost surely, 2^84145632 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 84145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110929896).

84145632 is an abundant number, since it is smaller than the sum of its proper divisors (137714160).

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

84145632 is a wasteful number, since it uses less digits than its factorization.

84145632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3883 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 84145632 is about 9173.0928263046. The cubic root of 84145632 is about 438.2048623616.

The spelling of 84145632 in words is "eighty-four million, one hundred forty-five thousand, six hundred thirty-two".