84001736 has 64 divisors (see below), whose sum is σ = 204086400. Its totient is φ = 31477248.

The previous prime is 84001721. The next prime is 84001759. The reversal of 84001736 is 63710048.

It is a junction number, because it is equal to n+sod(n) for n = 84001699 and 84001708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10796 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (3188850).

Almost surely, 2^84001736 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 84001736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102043200).

84001736 is an abundant number, since it is smaller than the sum of its proper divisors (120084664).

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

84001736 is a wasteful number, since it uses less digits than its factorization.

84001736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 84001736 is about 9165.2460959867. The cubic root of 84001736 is about 437.9549309701.

The spelling of 84001736 in words is "eighty-four million, one thousand, seven hundred thirty-six".