84742736 has 80 divisors (see below), whose sum is σ = 191029440. Its totient is φ = 36080640.

The previous prime is 84742733. The next prime is 84742769. The reversal of 84742736 is 63724748.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 84742693 and 84742702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84742733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161771 + ... + 162293.

It is an arithmetic number, because the mean of its divisors is an integer number (2387868).

Almost surely, 2^84742736 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 84742736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95514720).

84742736 is an abundant number, since it is smaller than the sum of its proper divisors (106286704).

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

84742736 is a wasteful number, since it uses less digits than its factorization.

84742736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 84742736 is about 9205.5817849824. The cubic root of 84742736 is about 439.2389322745.

The spelling of 84742736 in words is "eighty-four million, seven hundred forty-two thousand, seven hundred thirty-six".