1791642240 has 640 divisors, whose sum is σ = 7197854400. Its totient is φ = 422019072.

The previous prime is 1791642217. The next prime is 1791642287. The reversal of 1791642240 is 422461971.

It is a happy number.

1791642240 is a `hidden beast` number, since 1 + 7 + 9 + 1 + 642 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 junction number, because it is equal to n+sod(n) for n = 1791642195 and 1791642204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16744267 + ... + 16744373.

Almost surely, 2^1791642240 is an apocalyptic number.

1791642240 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 1791642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598927200).

1791642240 is an abundant number, since it is smaller than the sum of its proper divisors (5406212160).

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

1791642240 is a wasteful number, since it uses less digits than its factorization.

1791642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1791642240 is about 42327.7951232993. The cubic root of 1791642240 is about 1214.5547522641.

The spelling of 1791642240 in words is "one billion, seven hundred ninety-one million, six hundred forty-two thousand, two hundred forty".