1791138240 has 84 divisors (see below), whose sum is σ = 6160779144. Its totient is φ = 477636096.

The previous prime is 1791138197. The next prime is 1791138247. The reversal of 1791138240 is 428311971.

It is a happy number.

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 = 1791138195 and 1791138204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1791138247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308082 + ... + 313841.

Almost surely, 2^1791138240 is an apocalyptic number.

1791138240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1791138240 is an abundant number, since it is smaller than the sum of its proper divisors (4369640904).

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

1791138240 is a wasteful number, since it uses less digits than its factorization.

1791138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621946 (or 621933 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1791138240 is about 42321.8411697790. The cubic root of 1791138240 is about 1214.4408543386.

The spelling of 1791138240 in words is "one billion, seven hundred ninety-one million, one hundred thirty-eight thousand, two hundred forty".