1681905600 has 168 divisors, whose sum is σ = 6131326320. Its totient is φ = 448496640.

The previous prime is 1681905587. The next prime is 1681905629. The reversal of 1681905600 is 65091861.

1681905600 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 90 + 560 + 0 = 666.

It is a super-2 number, since 2×1681905600² = 5657612894622720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23734 + ... + 62666.

It is an arithmetic number, because the mean of its divisors is an integer number (36495990).

Almost surely, 2^1681905600 is an apocalyptic number.

1681905600 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 1681905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065663160).

1681905600 is an abundant number, since it is smaller than the sum of its proper divisors (4449420720).

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

1681905600 is a wasteful number, since it uses less digits than its factorization.

1681905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38964 (or 38943 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1681905600 is about 41011.0424154276. The cubic root of 1681905600 is about 1189.2336944330.

The spelling of 1681905600 in words is "one billion, six hundred eighty-one million, nine hundred five thousand, six hundred".