19966080 has 64 divisors (see below), whose sum is σ = 63648000. Its totient is φ = 5323776.

The previous prime is 19966069. The next prime is 19966091. The reversal of 19966080 is 8066991.

It is an interprime number because it is at equal distance from previous prime (19966069) and next prime (19966091).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3280 + ... + 7119.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 2^19966080 is an apocalyptic number.

19966080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19966080 is an abundant number, since it is smaller than the sum of its proper divisors (43681920).

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

19966080 is a wasteful number, since it uses less digits than its factorization.

19966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 19966080 is about 4468.3419743793. The cubic root of 19966080 is about 271.2882197485.

The spelling of 19966080 in words is "nineteen million, nine hundred sixty-six thousand, eighty".