1832182416 has 225 divisors, whose sum is σ = 5629249483. Its totient is φ = 575285760.

The previous prime is 1832182411. The next prime is 1832182423. The reversal of 1832182416 is 6142812381.

The square root of 1832182416 is 42804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 483824016 + 1348358400 = 21996^2 + 36720^2 .

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

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1832182411) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44687356 + ... + 44687396.

Almost surely, 2^1832182416 is an apocalyptic number.

1832182416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1832182416 is the 42804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1832182416

1832182416 is an abundant number, since it is smaller than the sum of its proper divisors (3797067067).

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

1832182416 is an equidigital number, since it uses as much as digits as its factorization.

1832182416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 75 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The cubic root of 1832182416 is about 1223.6472455208.

Multiplying 1832182416 by its sum of digits (36), we get a square (65958566976 = 256824²).

1832182416 divided by its sum of digits (36) gives a square (50893956 = 7134²).

Adding to 1832182416 its reverse (6142812381), we get a palindrome (7974994797).

The spelling of 1832182416 in words is "one billion, eight hundred thirty-two million, one hundred eighty-two thousand, four hundred sixteen".