1680614400 has 264 divisors, whose sum is σ = 5645134720. Its totient is φ = 440893440.

The previous prime is 1680614387. The next prime is 1680614401. The reversal of 1680614400 is 44160861.

It is a super-2 number, since 2×1680614400² = 5648929522974720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1680614401) 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, 6067062 + ... + 6067338.

Almost surely, 2^1680614400 is an apocalyptic number.

1680614400 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 1680614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822567360).

1680614400 is an abundant number, since it is smaller than the sum of its proper divisors (3964520320).

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

1680614400 is a wasteful number, since it uses less digits than its factorization.

1680614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1680614400 is about 40995.2972912748. The cubic root of 1680614400 is about 1188.9292913680.

The spelling of 1680614400 in words is "one billion, six hundred eighty million, six hundred fourteen thousand, four hundred".