84433632 has 48 divisors (see below), whose sum is σ = 223816320. Its totient is φ = 27868032.

The previous prime is 84433631. The next prime is 84433633. The reversal of 84433632 is 23633448.

It is an interprime number because it is at equal distance from previous prime (84433631) and next prime (84433633).

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

It is a super-2 number, since 2×84433632² = 14258076425422848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 84433593 and 84433602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84433631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5619 + ... + 14157.

It is an arithmetic number, because the mean of its divisors is an integer number (4662840).

Almost surely, 2^84433632 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 84433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111908160).

84433632 is an abundant number, since it is smaller than the sum of its proper divisors (139382688).

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

84433632 is a wasteful number, since it uses less digits than its factorization.

84433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8655 (or 8647 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 84433632 is about 9188.7775030196. Note that the first 3 decimals coincide. The cubic root of 84433632 is about 438.7042318798.

The spelling of 84433632 in words is "eighty-four million, four hundred thirty-three thousand, six hundred thirty-two".