1016668800 has 576 divisors, whose sum is σ = 4358500800. Its totient is φ = 226713600.

The previous prime is 1016668691. The next prime is 1016668811. The reversal of 1016668800 is 88666101.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24796780 + ... + 24796820.

Almost surely, 2^1016668800 is an apocalyptic number.

1016668800 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 1016668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179250400).

1016668800 is an abundant number, since it is smaller than the sum of its proper divisors (3341832000).

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

1016668800 is an equidigital number, since it uses as much as digits as its factorization.

1016668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1016668800 is about 31885.2442361667. The cubic root of 1016668800 is about 1005.5256773181.

The spelling of 1016668800 in words is "one billion, sixteen million, six hundred sixty-eight thousand, eight hundred".