1681417000 has 64 divisors (see below), whose sum is σ = 3940831440. Its totient is φ = 671488000.

The previous prime is 1681416991. The next prime is 1681417009. The reversal of 1681417000 is 7141861.

It is an interprime number because it is at equal distance from previous prime (1681416991) and next prime (1681417009).

It can be written as a sum of positive squares in 8 ways, for example, as 487438084 + 1193978916 = 22078^2 + 34554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1681417000.

It is not an unprimeable number, because it can be changed into a prime (1681417009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976140 + ... + 977860.

Almost surely, 2^1681417000 is an apocalyptic number.

1681417000 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 1681417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970415720).

1681417000 is an abundant number, since it is smaller than the sum of its proper divisors (2259414440).

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

1681417000 is a wasteful number, since it uses less digits than its factorization.

1681417000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1681417000 is about 41005.0850505154. The cubic root of 1681417000 is about 1189.1185243031.

Adding to 1681417000 its reverse (7141861), we get a palindrome (1688558861).

The spelling of 1681417000 in words is "one billion, six hundred eighty-one million, four hundred seventeen thousand".