1712082240 has 504 divisors, whose sum is σ = 6877339560. Its totient is φ = 390635520.

The previous prime is 1712082221. The next prime is 1712082259. The reversal of 1712082240 is 422802171.

It is an interprime number because it is at equal distance from previous prime (1712082221) and next prime (1712082259).

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 1485639936 = 15048^2 + 38544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100710712 + ... + 100710728.

It is an arithmetic number, because the mean of its divisors is an integer number (13645515).

Almost surely, 2^1712082240 is an apocalyptic number.

1712082240 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 1712082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438669780).

1712082240 is an abundant number, since it is smaller than the sum of its proper divisors (5165257320).

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

1712082240 is a wasteful number, since it uses less digits than its factorization.

1712082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1712082240 is about 41377.3155243305. The cubic root of 1712082240 is about 1196.3039611013.

The spelling of 1712082240 in words is "one billion, seven hundred twelve million, eighty-two thousand, two hundred forty".