206142984 has 96 divisors (see below), whose sum is σ = 577624320. Its totient is φ = 66365568.

The previous prime is 206142983. The next prime is 206143001. The reversal of 206142984 is 489241602.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (206142983) 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, 593899 + ... + 594245.

It is an arithmetic number, because the mean of its divisors is an integer number (6016920).

Almost surely, 2^206142984 is an apocalyptic number.

206142984 is a gapful number since it is divisible by the number (24) 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 206142984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288812160).

206142984 is an abundant number, since it is smaller than the sum of its proper divisors (371481336).

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

206142984 is a wasteful number, since it uses less digits than its factorization.

206142984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 206142984 is about 14357.6803140340. The cubic root of 206142984 is about 590.7306699653.

The spelling of 206142984 in words is "two hundred six million, one hundred forty-two thousand, nine hundred eighty-four".