202040640 has 252 divisors, whose sum is σ = 727912692. Its totient is φ = 51425280.

The previous prime is 202040633. The next prime is 202040659. The reversal of 202040640 is 46040202.

202040640 is a `hidden beast` number, since 2 + 0 + 20 + 4 + 0 + 640 = 666.

202040640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93547584 + 108493056 = 9672^2 + 10416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2767644 + ... + 2767716.

Almost surely, 2^202040640 is an apocalyptic number.

202040640 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 202040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363956346).

202040640 is an abundant number, since it is smaller than the sum of its proper divisors (525872052).

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

202040640 is a wasteful number, since it uses less digits than its factorization.

202040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202040640 is about 14214.1000418598. The cubic root of 202040640 is about 586.7857770093.

Adding to 202040640 its reverse (46040202), we get a palindrome (248080842).

The spelling of 202040640 in words is "two hundred two million, forty thousand, six hundred forty".