1382646720 has 896 divisors, whose sum is σ = 6144768000. Its totient is φ = 260112384.

The previous prime is 1382646709. The next prime is 1382646763. The reversal of 1382646720 is 276462831.

It is a happy number.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72770871 + ... + 72770889.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^1382646720 is an apocalyptic number.

1382646720 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 1382646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384000).

1382646720 is an abundant number, since it is smaller than the sum of its proper divisors (4762121280).

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

1382646720 is a wasteful number, since it uses less digits than its factorization.

1382646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1382646720 is about 37183.9578313014. The cubic root of 1382646720 is about 1114.0475876988.

The spelling of 1382646720 in words is "one billion, three hundred eighty-two million, six hundred forty-six thousand, seven hundred twenty".