202086768 has 120 divisors (see below), whose sum is σ = 582660624. Its totient is φ = 59996160.

The previous prime is 202086767. The next prime is 202086779. The reversal of 202086768 is 867680202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202086767) 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, 599496 + ... + 599832.

Almost surely, 2^202086768 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 202086768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291330312).

202086768 is an abundant number, since it is smaller than the sum of its proper divisors (380573856).

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

202086768 is a wasteful number, since it uses less digits than its factorization.

202086768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 202086768 is about 14215.7225634155. The cubic root of 202086768 is about 586.8304300630.

It can be divided in two parts, 2020 and 86768, that added together give a palindrome (88788).

The spelling of 202086768 in words is "two hundred two million, eighty-six thousand, seven hundred sixty-eight".