1791561240 has 448 divisors, whose sum is σ = 7063752960. Its totient is φ = 400308480.

The previous prime is 1791561209. The next prime is 1791561253. The reversal of 1791561240 is 421651971.

1791561240 is a `hidden beast` number, since 1 + 7 + 91 + 561 + 2 + 4 + 0 = 666.

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 = 1791561195 and 1791561204.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 13675975 + ... + 13676105.

Almost surely, 2^1791561240 is an apocalyptic number.

1791561240 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 1791561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531876480).

1791561240 is an abundant number, since it is smaller than the sum of its proper divisors (5272191720).

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

1791561240 is a wasteful number, since it uses less digits than its factorization.

1791561240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1791561240 is about 42326.8382943966. The cubic root of 1791561240 is about 1214.5364486811.

The spelling of 1791561240 in words is "one billion, seven hundred ninety-one million, five hundred sixty-one thousand, two hundred forty".