1382606820 has 672 divisors, whose sum is σ = 5640929280. Its totient is φ = 277136640.

The previous prime is 1382606809. The next prime is 1382606837. The reversal of 1382606820 is 286062831.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 44600205 + ... + 44600235.

It is an arithmetic number, because the mean of its divisors is an integer number (8394240).

Almost surely, 2^1382606820 is an apocalyptic number.

1382606820 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 1382606820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820464640).

1382606820 is an abundant number, since it is smaller than the sum of its proper divisors (4258322460).

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

1382606820 is a wasteful number, since it uses less digits than its factorization.

1382606820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1382606820 is about 37183.4213057379. The cubic root of 1382606820 is about 1114.0368713132.

The spelling of 1382606820 in words is "one billion, three hundred eighty-two million, six hundred six thousand, eight hundred twenty".