838400120 has 32 divisors (see below), whose sum is σ = 1897711200. Its totient is φ = 333349248.

The previous prime is 838400119. The next prime is 838400141. The reversal of 838400120 is 21004838.

It is a super-2 number, since 2×838400120² = 1405829522432028800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 838400120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56075 + ... + 69434.

It is an arithmetic number, because the mean of its divisors is an integer number (59303475).

Almost surely, 2^838400120 is an apocalyptic number.

It is an amenable number.

838400120 is an abundant number, since it is smaller than the sum of its proper divisors (1059311080).

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

838400120 is a wasteful number, since it uses less digits than its factorization.

838400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125687 (or 125683 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 838400120 is about 28955.1397855372. The cubic root of 838400120 is about 942.9393880331.

Adding to 838400120 its reverse (21004838), we get a palindrome (859404958).

The spelling of 838400120 in words is "eight hundred thirty-eight million, four hundred thousand, one hundred twenty".