838361664 has 392 divisors, whose sum is σ = 3038295168. Its totient is φ = 223948800.

The previous prime is 838361663. The next prime is 838361677. The reversal of 838361664 is 466163838.

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

It is not an unprimeable number, because it can be changed into a prime (838361663) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5551989 + ... + 5552139.

Almost surely, 2^838361664 is an apocalyptic number.

838361664 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 838361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519147584).

838361664 is an abundant number, since it is smaller than the sum of its proper divisors (2199933504).

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

838361664 is a wasteful number, since it uses less digits than its factorization.

838361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 838361664 is about 28954.4757161997. The cubic root of 838361664 is about 942.9249707993.

The spelling of 838361664 in words is "eight hundred thirty-eight million, three hundred sixty-one thousand, six hundred sixty-four".