838872 has 48 divisors (see below), whose sum is σ = 2321280. Its totient is φ = 273600.

The previous prime is 838853. The next prime is 838889. The reversal of 838872 is 278838.

838872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8² + 3⁸ + 8³ + 8⁴ + 7⁷ + 2¹² .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4297 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2⁸³⁸⁸⁷² 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 838872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640).

838872 is an abundant number, since it is smaller than the sum of its proper divisors (1482408).

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

838872 is a wasteful number, since it uses less digits than its factorization.

838872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 838872 is about 915.8995578119. The cubic root of 838872 is about 94.3116260935.

The spelling of 838872 in words is "eight hundred thirty-eight thousand, eight hundred seventy-two".