1681268400 has 540 divisors, whose sum is σ = 7058345112. Its totient is φ = 383201280.

The previous prime is 1681268389. The next prime is 1681268483. The reversal of 1681268400 is 48621861.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4762624 + ... + 4762976.

Almost surely, 2^1681268400 is an apocalyptic number.

1681268400 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 1681268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529172556).

1681268400 is an abundant number, since it is smaller than the sum of its proper divisors (5377076712).

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

1681268400 is a wasteful number, since it uses less digits than its factorization.

1681268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1681268400 is about 41003.2730400879. The cubic root of 1681268400 is about 1189.0834926962.

The spelling of 1681268400 in words is "one billion, six hundred eighty-one million, two hundred sixty-eight thousand, four hundred".