84881742 has 48 divisors (see below), whose sum is σ = 191009280. Its totient is φ = 25114320.

The previous prime is 84881729. The next prime is 84881747. The reversal of 84881742 is 24718848.

It is a junction number, because it is equal to n+sod(n) for n = 84881694 and 84881703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84881747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29859 + ... + 32577.

It is an arithmetic number, because the mean of its divisors is an integer number (3979360).

Almost surely, 2^84881742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84881742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95504640).

84881742 is an abundant number, since it is smaller than the sum of its proper divisors (106127538).

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

84881742 is a wasteful number, since it uses less digits than its factorization.

84881742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2778 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 84881742 is about 9213.1287845118. The cubic root of 84881742 is about 439.4789665864.

The spelling of 84881742 in words is "eighty-four million, eight hundred eighty-one thousand, seven hundred forty-two".