84709632 has 108 divisors (see below), whose sum is σ = 262376016. Its totient is φ = 24192000.

The previous prime is 84709631. The next prime is 84709637. The reversal of 84709632 is 23690748.

It is not an unprimeable number, because it can be changed into a prime (84709631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36507 + ... + 38757.

Almost surely, 2^84709632 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 84709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131188008).

84709632 is an abundant number, since it is smaller than the sum of its proper divisors (177666384).

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

84709632 is a wasteful number, since it uses less digits than its factorization.

84709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 84709632 is about 9203.7835698152. The cubic root of 84709632 is about 439.1817298912.

The spelling of 84709632 in words is "eighty-four million, seven hundred nine thousand, six hundred thirty-two".