1382640192 has 280 divisors, whose sum is σ = 4497613560. Its totient is φ = 418037760.

The previous prime is 1382640169. The next prime is 1382640223. The reversal of 1382640192 is 2910462831.

1382640192 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 640 + 1 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318836736 + 1063803456 = 17856^2 + 32616^2 .

It is a super-3 number, since 3×1382640192³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2555442 + ... + 2555982.

Almost surely, 2^1382640192 is an apocalyptic number.

1382640192 is a gapful number since it is divisible by the number (12) 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 1382640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248806780).

1382640192 is an abundant number, since it is smaller than the sum of its proper divisors (3114973368).

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

1382640192 is a wasteful number, since it uses less digits than its factorization.

1382640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1382640192 is about 37183.8700514080. The cubic root of 1382640192 is about 1114.0458344155.

The spelling of 1382640192 in words is "one billion, three hundred eighty-two million, six hundred forty thousand, one hundred ninety-two".