84507136 has 160 divisors (see below), whose sum is σ = 218021760. Its totient is φ = 31850496.

The previous prime is 84507133. The next prime is 84507139. The reversal of 84507136 is 63170548.

84507136 = 783² + 784² + ... + 901².

It is an interprime number because it is at equal distance from previous prime (84507133) and next prime (84507139).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (84507133) 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, 1157596 + ... + 1157668.

It is an arithmetic number, because the mean of its divisors is an integer number (1362636).

Almost surely, 2^84507136 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 84507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109010880).

84507136 is an abundant number, since it is smaller than the sum of its proper divisors (133514624).

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

84507136 is a wasteful number, since it uses less digits than its factorization.

84507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 84507136 is about 9192.7762944608. The cubic root of 84507136 is about 438.8315001345.

The spelling of 84507136 in words is "eighty-four million, five hundred seven thousand, one hundred thirty-six".