84851712 has 264 divisors, whose sum is σ = 286121472. Its totient is φ = 24883200.

The previous prime is 84851687. The next prime is 84851717. The reversal of 84851712 is 21715848.

84851712 is a `hidden beast` number, since 8 + 485 + 171 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84851717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2737137 + ... + 2737167.

Almost surely, 2^84851712 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 84851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143060736).

84851712 is an abundant number, since it is smaller than the sum of its proper divisors (201269760).

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

84851712 is a wasteful number, since it uses less digits than its factorization.

84851712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 84851712 is about 9211.4989008304. The cubic root of 84851712 is about 439.4271332563.

The spelling of 84851712 in words is "eighty-four million, eight hundred fifty-one thousand, seven hundred twelve".