816202240 has 160 divisors (see below), whose sum is σ = 2298852864. Its totient is φ = 272056320.

The previous prime is 816202237. The next prime is 816202243. The reversal of 816202240 is 42202618.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (816202237) and next prime (816202243).

It is a tau number, because it is divible by the number of its divisors (160).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 816202240 = 188³ + 932³ = 704³ + 776³.

It is not an unprimeable number, because it can be changed into a prime (816202243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662425 + ... + 663655.

Almost surely, 2^816202240 is an apocalyptic number.

816202240 is a gapful number since it is divisible by the number (80) 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 816202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149426432).

816202240 is an abundant number, since it is smaller than the sum of its proper divisors (1482650624).

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

816202240 is a wasteful number, since it uses less digits than its factorization.

816202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1282 counting only the distinct ones).

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

The square root of 816202240 is about 28569.2534029155. The cubic root of 816202240 is about 934.5429396014.

Adding to 816202240 its reverse (42202618), we get a palindrome (858404858).

The spelling of 816202240 in words is "eight hundred sixteen million, two hundred two thousand, two hundred forty".