838653920 has 96 divisors (see below), whose sum is σ = 2246136480. Its totient is φ = 293345280.

The previous prime is 838653919. The next prime is 838653923. The reversal of 838653920 is 29356838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838653923) 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, 28910 + ... + 50130.

It is an arithmetic number, because the mean of its divisors is an integer number (23397255).

Almost surely, 2^838653920 is an apocalyptic number.

838653920 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 838653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123068240).

838653920 is an abundant number, since it is smaller than the sum of its proper divisors (1407482560).

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

838653920 is a wasteful number, since it uses less digits than its factorization.

838653920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21268 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 838653920 is about 28959.5220955043. The cubic root of 838653920 is about 943.0345271225.

The spelling of 838653920 in words is "eight hundred thirty-eight million, six hundred fifty-three thousand, nine hundred twenty".