838735506 has 128 divisors (see below), whose sum is σ = 2320128000. Its totient is φ = 219143232.

The previous prime is 838735493. The next prime is 838735531. The reversal of 838735506 is 605537838.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206265 + ... + 210291.

It is an arithmetic number, because the mean of its divisors is an integer number (18126000).

Almost surely, 2^838735506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838735506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160064000).

838735506 is an abundant number, since it is smaller than the sum of its proper divisors (1481392494).

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

838735506 is a wasteful number, since it uses less digits than its factorization.

838735506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4087 counting only the distinct ones).

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

The square root of 838735506 is about 28960.9306825592. The cubic root of 838735506 is about 943.0651062519.

The spelling of 838735506 in words is "eight hundred thirty-eight million, seven hundred thirty-five thousand, five hundred six".