838531764 has 144 divisors (see below), whose sum is σ = 2527289856. Its totient is φ = 238140000.

The previous prime is 838531763. The next prime is 838531789. The reversal of 838531764 is 467135838.

Its product of digits (483840) is a multiple of the sum of its prime factors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838531763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1707559 + ... + 1708049.

It is an arithmetic number, because the mean of its divisors is an integer number (17550624).

Almost surely, 2^838531764 is an apocalyptic number.

838531764 is a gapful number since it is divisible by the number (84) 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 838531764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263644928).

838531764 is an abundant number, since it is smaller than the sum of its proper divisors (1688758092).

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

838531764 is a wasteful number, since it uses less digits than its factorization.

838531764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 838531764 is about 28957.4129369321. The cubic root of 838531764 is about 942.9887383028.

The spelling of 838531764 in words is "eight hundred thirty-eight million, five hundred thirty-one thousand, seven hundred sixty-four".