84605742 has 64 divisors (see below), whose sum is σ = 203857920. Its totient is φ = 25855200.

The previous prime is 84605723. The next prime is 84605743. The reversal of 84605742 is 24750648.

84605742 is a `hidden beast` number, since 8 + 4 + 605 + 7 + 42 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84605697 and 84605706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84605743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133767 + ... + 134397.

It is an arithmetic number, because the mean of its divisors is an integer number (3185280).

Almost surely, 2^84605742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84605742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101928960).

84605742 is an abundant number, since it is smaller than the sum of its proper divisors (119252178).

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

84605742 is a wasteful number, since it uses less digits than its factorization.

84605742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 84605742 is about 9198.1379637403. The cubic root of 84605742 is about 439.0021153102.

The spelling of 84605742 in words is "eighty-four million, six hundred five thousand, seven hundred forty-two".