838575360 has 216 divisors, whose sum is σ = 3316185600. Its totient is φ = 191655936.

The previous prime is 838575341. The next prime is 838575403. The reversal of 838575360 is 63575838.

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, 75441 + ... + 85839.

Almost surely, 2^838575360 is an apocalyptic number.

838575360 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 838575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658092800).

838575360 is an abundant number, since it is smaller than the sum of its proper divisors (2477610240).

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

838575360 is a wasteful number, since it uses less digits than its factorization.

838575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10433 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 838575360 is about 28958.1656877641. The cubic root of 838575360 is about 943.0050802895.

The spelling of 838575360 in words is "eight hundred thirty-eight million, five hundred seventy-five thousand, three hundred sixty".