1681407000 has 384 divisors, whose sum is σ = 6998060160. Its totient is φ = 354585600.

The previous prime is 1681406983. The next prime is 1681407059. The reversal of 1681407000 is 7041861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 817974 + ... + 820026.

It is an arithmetic number, because the mean of its divisors is an integer number (18224115).

Almost surely, 2^1681407000 is an apocalyptic number.

1681407000 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 1681407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499030080).

1681407000 is an abundant number, since it is smaller than the sum of its proper divisors (5316653160).

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

1681407000 is a wasteful number, since it uses less digits than its factorization.

1681407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1681407000 is about 41004.9631142378. The cubic root of 1681407000 is about 1189.1161669246.

Adding to 1681407000 its reverse (7041861), we get a palindrome (1688448861).

The spelling of 1681407000 in words is "one billion, six hundred eighty-one million, four hundred seven thousand".