838873620 has 144 divisors (see below), whose sum is σ = 2814673680. Its totient is φ = 200890368.

The previous prime is 838873603. The next prime is 838873631. The reversal of 838873620 is 26378838.

It can be written as a sum of positive squares in 8 ways, for example, as 76176 + 838797444 = 276^2 + 28962^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81736 + ... + 91424.

It is an arithmetic number, because the mean of its divisors is an integer number (19546345).

Almost surely, 2^838873620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838873620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407336840).

838873620 is an abundant number, since it is smaller than the sum of its proper divisors (1975800060).

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

838873620 is a wasteful number, since it uses less digits than its factorization.

838873620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 838873620 is about 28963.3150726915. The cubic root of 838873620 is about 943.1168680387.

The spelling of 838873620 in words is "eight hundred thirty-eight million, eight hundred seventy-three thousand, six hundred twenty".