84001536 has 90 divisors (see below), whose sum is σ = 250539212. Its totient is φ = 27993600.

The previous prime is 84001517. The next prime is 84001553. The reversal of 84001536 is 63510048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18711 + ... + 22761.

Almost surely, 2^84001536 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 84001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125269606).

84001536 is an abundant number, since it is smaller than the sum of its proper divisors (166537676).

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

84001536 is an equidigital number, since it uses as much as digits as its factorization.

84001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 84001536 is about 9165.2351851985. The cubic root of 84001536 is about 437.9545833937.

The spelling of 84001536 in words is "eighty-four million, one thousand, five hundred thirty-six".