1838632960 has 104 divisors (see below), whose sum is σ = 4672605096. Its totient is φ = 692060160.

The previous prime is 1838632951. The next prime is 1838632967. The reversal of 1838632960 is 692368381.

It can be written as a sum of positive squares in 4 ways, for example, as 124010496 + 1714622464 = 11136^2 + 41408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1838632960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838632967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345520 + ... + 350800.

Almost surely, 2^1838632960 is an apocalyptic number.

1838632960 is a gapful number since it is divisible by the number (10) 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 1838632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336302548).

1838632960 is an abundant number, since it is smaller than the sum of its proper divisors (2833972136).

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

1838632960 is an equidigital number, since it uses as much as digits as its factorization.

1838632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 1838632960 is about 42879.2835761047. The cubic root of 1838632960 is about 1225.0815905672.

The spelling of 1838632960 in words is "one billion, eight hundred thirty-eight million, six hundred thirty-two thousand, nine hundred sixty".