838366848 has 160 divisors (see below), whose sum is σ = 2722151520. Its totient is φ = 254016000.

The previous prime is 838366847. The next prime is 838366877. The reversal of 838366848 is 848663838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 838366794 and 838366803.

It is not an unprimeable number, because it can be changed into a prime (838366843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110373 + ... + 117723.

It is an arithmetic number, because the mean of its divisors is an integer number (17013447).

Almost surely, 2^838366848 is an apocalyptic number.

838366848 is a gapful number since it is divisible by the number (88) 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 838366848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361075760).

838366848 is an abundant number, since it is smaller than the sum of its proper divisors (1883784672).

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

838366848 is a wasteful number, since it uses less digits than its factorization.

838366848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7388 (or 7367 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 838366848 is about 28954.5652359002. The cubic root of 838366848 is about 942.9269143173.

The spelling of 838366848 in words is "eight hundred thirty-eight million, three hundred sixty-six thousand, eight hundred forty-eight".