286970112 has 324 divisors, whose sum is σ = 991985904. Its totient is φ = 79073280.

The previous prime is 286970071. The next prime is 286970119. The reversal of 286970112 is 211079682.

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

It is not an unprimeable number, because it can be changed into a prime (286970119) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4283103 + ... + 4283169.

Almost surely, 2^286970112 is an apocalyptic number.

286970112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495992952).

286970112 is an abundant number, since it is smaller than the sum of its proper divisors (705015792).

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

286970112 is a wasteful number, since it uses less digits than its factorization.

286970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 286970112 is about 16940.1922067018. The cubic root of 286970112 is about 659.5973301363.

The spelling of 286970112 in words is "two hundred eighty-six million, nine hundred seventy thousand, one hundred twelve".