202128640 has 144 divisors (see below), whose sum is σ = 586317312. Its totient is φ = 65175552.

The previous prime is 202128629. The next prime is 202128709. The reversal of 202128640 is 46821202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151657 + ... + 152983.

It is an arithmetic number, because the mean of its divisors is an integer number (4071648).

Almost surely, 2^202128640 is an apocalyptic number.

202128640 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 202128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293158656).

202128640 is an abundant number, since it is smaller than the sum of its proper divisors (384188672).

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

202128640 is a wasteful number, since it uses less digits than its factorization.

202128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 202128640 is about 14217.1952226872. The cubic root of 202128640 is about 586.8709573196.

Adding to 202128640 its reverse (46821202), we get a palindrome (248949842).

The spelling of 202128640 in words is "two hundred two million, one hundred twenty-eight thousand, six hundred forty".