1681072008 has 96 divisors (see below), whose sum is σ = 5333312160. Its totient is φ = 436638720.

The previous prime is 1681072007. The next prime is 1681072021. The reversal of 1681072008 is 8002701861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 1681072008.

It is not an unprimeable number, because it can be changed into a prime (1681072007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52041 + ... + 77912.

It is an arithmetic number, because the mean of its divisors is an integer number (55555335).

Almost surely, 2^1681072008 is an apocalyptic number.

It is an amenable number.

1681072008 is an abundant number, since it is smaller than the sum of its proper divisors (3652240152).

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

1681072008 is a wasteful number, since it uses less digits than its factorization.

1681072008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129987 (or 129976 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1681072008 is about 41000.8781369375. The cubic root of 1681072008 is about 1189.0371912294.

Adding to 1681072008 its reverse (8002701861), we get a palindrome (9683773869).

The spelling of 1681072008 in words is "one billion, six hundred eighty-one million, seventy-two thousand, eight".