838054512 has 120 divisors (see below), whose sum is σ = 2442760320. Its totient is φ = 278147520.

The previous prime is 838054501. The next prime is 838054513. The reversal of 838054512 is 215450838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838054513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706587 + ... + 1707077.

It is an arithmetic number, because the mean of its divisors is an integer number (20356336).

Almost surely, 2^838054512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838054512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221380160).

838054512 is an abundant number, since it is smaller than the sum of its proper divisors (1604705808).

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

838054512 is a wasteful number, since it uses less digits than its factorization.

838054512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 838054512 is about 28949.1711798455. The cubic root of 838054512 is about 942.8098030541.

The spelling of 838054512 in words is "eight hundred thirty-eight million, fifty-four thousand, five hundred twelve".