1382823120 has 240 divisors, whose sum is σ = 5073693120. Its totient is φ = 310560768.

The previous prime is 1382823073. The next prime is 1382823131. The reversal of 1382823120 is 213282831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692844 + ... + 694836.

It is an arithmetic number, because the mean of its divisors is an integer number (21140388).

Almost surely, 2^1382823120 is an apocalyptic number.

1382823120 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 1382823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536846560).

1382823120 is an abundant number, since it is smaller than the sum of its proper divisors (3690870000).

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

1382823120 is a wasteful number, since it uses less digits than its factorization.

1382823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1382823120 is about 37186.3297462925. The cubic root of 1382823120 is about 1114.0949629333.

The spelling of 1382823120 in words is "one billion, three hundred eighty-two million, eight hundred twenty-three thousand, one hundred twenty".