1681790400 has 126 divisors (see below), whose sum is σ = 5977531352. Its totient is φ = 448473600.

The previous prime is 1681790389. The next prime is 1681790401. The reversal of 1681790400 is 40971861.

1681790400 is a `hidden beast` number, since 168 + 1 + 7 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681790401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43996 + ... + 72795.

Almost surely, 2^1681790400 is an apocalyptic number.

1681790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681790400 is an abundant number, since it is smaller than the sum of its proper divisors (4295740952).

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

1681790400 is a wasteful number, since it uses less digits than its factorization.

1681790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116819 (or 116801 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1681790400 is about 41009.6378915981. The cubic root of 1681790400 is about 1189.2065421264.

The spelling of 1681790400 in words is "one billion, six hundred eighty-one million, seven hundred ninety thousand, four hundred".