206785152 has 96 divisors (see below), whose sum is σ = 680078880. Its totient is φ = 59079168.

The previous prime is 206785133. The next prime is 206785177. The reversal of 206785152 is 251587602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4758 + ... + 20885.

It is an arithmetic number, because the mean of its divisors is an integer number (7084155).

Almost surely, 2^206785152 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 206785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340039440).

206785152 is an abundant number, since it is smaller than the sum of its proper divisors (473293728).

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

206785152 is a wasteful number, since it uses less digits than its factorization.

206785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25670 (or 25655 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 206785152 is about 14380.0261474032. The cubic root of 206785152 is about 591.3434406028.

The spelling of 206785152 in words is "two hundred six million, seven hundred eighty-five thousand, one hundred fifty-two".