84961536 has 144 divisors (see below), whose sum is σ = 251657280. Its totient is φ = 25231360.

The previous prime is 84961501. The next prime is 84961537. The reversal of 84961536 is 63516948.

It is not an unprimeable number, because it can be changed into a prime (84961537) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 751816 + ... + 751928.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 2^84961536 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 84961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828640).

84961536 is an abundant number, since it is smaller than the sum of its proper divisors (166695744).

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

84961536 is a wasteful number, since it uses less digits than its factorization.

84961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 84961536 is about 9217.4582179688. The cubic root of 84961536 is about 439.6166357755.

The spelling of 84961536 in words is "eighty-four million, nine hundred sixty-one thousand, five hundred thirty-six".