1821967136 has 48 divisors (see below), whose sum is σ = 3919412448. Its totient is φ = 826828800.

The previous prime is 1821967127. The next prime is 1821967151. The reversal of 1821967136 is 6317691281.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233051 + ... + 240741.

It is an arithmetic number, because the mean of its divisors is an integer number (81654426).

Almost surely, 2^1821967136 is an apocalyptic number.

1821967136 is a gapful number since it is divisible by the number (16) 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 1821967136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959706224).

1821967136 is an abundant number, since it is smaller than the sum of its proper divisors (2097445312).

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

1821967136 is a wasteful number, since it uses less digits than its factorization.

1821967136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8377 counting only the distinct ones).

The product of its digits is 108864, while the sum is 44.

The square root of 1821967136 is about 42684.5069785279. The cubic root of 1821967136 is about 1221.3688693262.

The spelling of 1821967136 in words is "one billion, eight hundred twenty-one million, nine hundred sixty-seven thousand, one hundred thirty-six".