1382982640 has 320 divisors, whose sum is σ = 4049740800. Its totient is φ = 433078272.

The previous prime is 1382982637. The next prime is 1382982683. The reversal of 1382982640 is 462892831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7726071 + ... + 7726249.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 2^1382982640 is an apocalyptic number.

1382982640 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 1382982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024870400).

1382982640 is an abundant number, since it is smaller than the sum of its proper divisors (2666758160).

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

1382982640 is a wasteful number, since it uses less digits than its factorization.

1382982640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1382982640 is about 37188.4745586586. The cubic root of 1382982640 is about 1114.1378012864.

It can be divided in two parts, 13829 and 82640, that added together give a palindrome (96469).

The spelling of 1382982640 in words is "one billion, three hundred eighty-two million, nine hundred eighty-two thousand, six hundred forty".