84142912 has 56 divisors (see below), whose sum is σ = 194015360. Its totient is φ = 35458560.

The previous prime is 84142907. The next prime is 84142913. The reversal of 84142912 is 21924148.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84142913) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25789 + ... + 28867.

It is an arithmetic number, because the mean of its divisors is an integer number (3464560).

Almost surely, 2^84142912 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 84142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97007680).

84142912 is an abundant number, since it is smaller than the sum of its proper divisors (109872448).

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

84142912 is a wasteful number, since it uses less digits than its factorization.

84142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3149 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 84142912 is about 9172.9445654054. The cubic root of 84142912 is about 438.2001406664.

The spelling of 84142912 in words is "eighty-four million, one hundred forty-two thousand, nine hundred twelve".