84406842 has 48 divisors (see below), whose sum is σ = 202293000. Its totient is φ = 25266816.

The previous prime is 84406841. The next prime is 84406897. The reversal of 84406842 is 24860448.

It can be written as a sum of positive squares in 4 ways, for example, as 60699681 + 23707161 = 7791^2 + 4869^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84406797 and 84406806.

It is not an unprimeable number, because it can be changed into a prime (84406841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3784 + ... + 13532.

Almost surely, 2^84406842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84406842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101146500).

84406842 is an abundant number, since it is smaller than the sum of its proper divisors (117886158).

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

84406842 is a wasteful number, since it uses less digits than its factorization.

84406842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9804 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84406842 is about 9187.3196308826. The cubic root of 84406842 is about 438.6578280581.

The spelling of 84406842 in words is "eighty-four million, four hundred six thousand, eight hundred forty-two".