1712221640 has 64 divisors (see below), whose sum is σ = 4084441200. Its totient is φ = 643760128.

The previous prime is 1712221639. The next prime is 1712221661. The reversal of 1712221640 is 461222171.

It is a Cunningham number, because it is equal to 41379²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 528724036 + 1183497604 = 22994^2 + 34402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826526 + ... + 828594.

Almost surely, 2^1712221640 is an apocalyptic number.

1712221640 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 1712221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042220600).

1712221640 is an abundant number, since it is smaller than the sum of its proper divisors (2372219560).

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

1712221640 is a wasteful number, since it uses less digits than its factorization.

1712221640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1712221640 is about 41378.9999879166. Note that the first 4 decimals coincide. The cubic root of 1712221640 is about 1196.3364284370.

The spelling of 1712221640 in words is "one billion, seven hundred twelve million, two hundred twenty-one thousand, six hundred forty".