202420680 has 256 divisors, whose sum is σ = 797644800. Its totient is φ = 39813120.

The previous prime is 202420679. The next prime is 202420697. The reversal of 202420680 is 86024202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 202420680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174984 + ... + 176136.

It is an arithmetic number, because the mean of its divisors is an integer number (3115800).

Almost surely, 2^202420680 is an apocalyptic number.

202420680 is a gapful number since it is divisible by the number (20) 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 202420680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398822400).

202420680 is an abundant number, since it is smaller than the sum of its proper divisors (595224120).

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

202420680 is a wasteful number, since it uses less digits than its factorization.

202420680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 202420680 is about 14227.4621770715. The cubic root of 202420680 is about 587.1534627543.

Adding to 202420680 its reverse (86024202), we get a palindrome (288444882).

The spelling of 202420680 in words is "two hundred two million, four hundred twenty thousand, six hundred eighty".