84935136 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 22640640.

The previous prime is 84935131. The next prime is 84935141. The reversal of 84935136 is 63153948.

It is an interprime number because it is at equal distance from previous prime (84935131) and next prime (84935141).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 84935094 and 84935103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84935131) 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 31 ways as a sum of consecutive naturals, for example, 315610 + ... + 315878.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^84935136 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 84935136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

84935136 is an abundant number, since it is smaller than the sum of its proper divisors (189402144).

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

84935136 is a wasteful number, since it uses less digits than its factorization.

84935136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 84935136 is about 9216.0260416299. The cubic root of 84935136 is about 439.5710972019.

The spelling of 84935136 in words is "eighty-four million, nine hundred thirty-five thousand, one hundred thirty-six".