1751340864 has 112 divisors (see below), whose sum is σ = 5703141248. Its totient is φ = 461887488.

The previous prime is 1751340859. The next prime is 1751340881. The reversal of 1751340864 is 4680431571.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 32647 + ... + 67590.

It is an arithmetic number, because the mean of its divisors is an integer number (50920904).

Almost surely, 2^1751340864 is an apocalyptic number.

1751340864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1751340864 is an abundant number, since it is smaller than the sum of its proper divisors (3951800384).

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

1751340864 is a wasteful number, since it uses less digits than its factorization.

1751340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100272 (or 100262 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1751340864 is about 41849.0246481325. The cubic root of 1751340864 is about 1205.3788318943.

The spelling of 1751340864 in words is "one billion, seven hundred fifty-one million, three hundred forty thousand, eight hundred sixty-four".