838285920 has 144 divisors (see below), whose sum is σ = 2880586800. Its totient is φ = 221985792.

The previous prime is 838285913. The next prime is 838285939. The reversal of 838285920 is 29582838.

838285920 is a `hidden beast` number, since 8 + 38 + 28 + 592 + 0 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 212607 + ... + 216513.

It is an arithmetic number, because the mean of its divisors is an integer number (20004075).

Almost surely, 2^838285920 is an apocalyptic number.

838285920 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 838285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440293400).

838285920 is an abundant number, since it is smaller than the sum of its proper divisors (2042300880).

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

838285920 is a wasteful number, since it uses less digits than its factorization.

838285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 838285920 is about 28953.1677023430. The cubic root of 838285920 is about 942.8965729280.

The spelling of 838285920 in words is "eight hundred thirty-eight million, two hundred eighty-five thousand, nine hundred twenty".