84434700 has 144 divisors (see below), whose sum is σ = 288425984. Its totient is φ = 18662400.

The previous prime is 84434681. The next prime is 84434711. The reversal of 84434700 is 743448.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64452 + ... + 65748.

Almost surely, 2^84434700 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 84434700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144212992).

84434700 is an abundant number, since it is smaller than the sum of its proper divisors (203991284).

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

84434700 is a wasteful number, since it uses less digits than its factorization.

84434700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 84434700 is about 9188.8356172042. The cubic root of 84434700 is about 438.7060815935.

The spelling of 84434700 in words is "eighty-four million, four hundred thirty-four thousand, seven hundred".