1382174640 has 480 divisors, whose sum is σ = 5866338816. Its totient is φ = 283299840.

The previous prime is 1382174639. The next prime is 1382174641. The reversal of 1382174640 is 464712831.

1382174640 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 1 + 7 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1382174639) and next prime (1382174641).

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

It is a junction number, because it is equal to n+sod(n) for n = 1382174595 and 1382174604.

It is not an unprimeable number, because it can be changed into a prime (1382174641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5931964 + ... + 5932196.

Almost surely, 2^1382174640 is an apocalyptic number.

1382174640 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 1382174640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933169408).

1382174640 is an abundant number, since it is smaller than the sum of its proper divisors (4484164176).

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

1382174640 is a wasteful number, since it uses less digits than its factorization.

1382174640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1382174640 is about 37177.6093905996. The cubic root of 1382174640 is about 1113.9207827230.

The spelling of 1382174640 in words is "one billion, three hundred eighty-two million, one hundred seventy-four thousand, six hundred forty".