84229632 has 120 divisors (see below), whose sum is σ = 252468216. Its totient is φ = 28035072.

The previous prime is 84229631. The next prime is 84229633. The reversal of 84229632 is 23692248.

It is an interprime number because it is at equal distance from previous prime (84229631) and next prime (84229633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84229631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124078 + ... + 124754.

Almost surely, 2^84229632 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 84229632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126234108).

84229632 is an abundant number, since it is smaller than the sum of its proper divisors (168238584).

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

84229632 is an frugal number, since it uses more digits than its factorization.

84229632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 682 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 84229632 is about 9177.6702926178. The cubic root of 84229632 is about 438.3506293525.

The spelling of 84229632 in words is "eighty-four million, two hundred twenty-nine thousand, six hundred thirty-two".