1836972816 has 160 divisors (see below), whose sum is σ = 5605355520. Its totient is φ = 507522048.

The previous prime is 1836972811. The next prime is 1836972827. The reversal of 1836972816 is 6182796381.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1836972811) 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 31 ways as a sum of consecutive naturals, for example, 1404835 + ... + 1406141.

It is an arithmetic number, because the mean of its divisors is an integer number (35033472).

Almost surely, 2^1836972816 is an apocalyptic number.

1836972816 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 1836972816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802677760).

1836972816 is an abundant number, since it is smaller than the sum of its proper divisors (3768382704).

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

1836972816 is a wasteful number, since it uses less digits than its factorization.

1836972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1455 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 1836972816 is about 42859.9208585364. The cubic root of 1836972816 is about 1224.7127614192.

The spelling of 1836972816 in words is "one billion, eight hundred thirty-six million, nine hundred seventy-two thousand, eight hundred sixteen".