1681612800 has 672 divisors, whose sum is σ = 7020836352. Its totient is φ = 346030080.

The previous prime is 1681612799. The next prime is 1681612837. The reversal of 1681612800 is 82161861.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73113589 + ... + 73113611.

Almost surely, 2^1681612800 is an apocalyptic number.

1681612800 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 1681612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510418176).

1681612800 is an abundant number, since it is smaller than the sum of its proper divisors (5339223552).

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

1681612800 is a wasteful number, since it uses less digits than its factorization.

1681612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1681612800 is about 41007.4724897792. The cubic root of 1681612800 is about 1189.1646798910.

The spelling of 1681612800 in words is "one billion, six hundred eighty-one million, six hundred twelve thousand, eight hundred".