820038240 has 144 divisors (see below), whose sum is σ = 3198188448. Its totient is φ = 187435008.

The previous prime is 820038239. The next prime is 820038277. The reversal of 820038240 is 42830028.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30597 + ... + 50756.

It is an arithmetic number, because the mean of its divisors is an integer number (22209642).

Almost surely, 2^820038240 is an apocalyptic number.

820038240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820038240 is an abundant number, since it is smaller than the sum of its proper divisors (2378150208).

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

820038240 is a wasteful number, since it uses less digits than its factorization.

820038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81381 (or 81370 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 820038240 is about 28636.3098181312. The cubic root of 820038240 is about 936.0047117887.

Adding to 820038240 its reverse (42830028), we get a palindrome (862868268).

The spelling of 820038240 in words is "eight hundred twenty million, thirty-eight thousand, two hundred forty".