19121680 has 40 divisors (see below), whose sum is σ = 44640000. Its totient is φ = 7617408.

The previous prime is 19121659. The next prime is 19121681. The reversal of 19121680 is 8612191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (19121681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38071 + ... + 38569.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^19121680 is an apocalyptic number.

19121680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19121680 is an abundant number, since it is smaller than the sum of its proper divisors (25518320).

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

19121680 is a wasteful number, since it uses less digits than its factorization.

19121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 19121680 is about 4372.8343211240. The cubic root of 19121680 is about 267.4085866935.

The spelling of 19121680 in words is "nineteen million, one hundred twenty-one thousand, six hundred eighty".