19080864 has 144 divisors (see below), whose sum is σ = 62506080. Its totient is φ = 5460480.

The previous prime is 19080857. The next prime is 19080871. The reversal of 19080864 is 46808091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19080857) and next prime (19080871).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 60034 + ... + 60350.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 2^19080864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31253040).

19080864 is an abundant number, since it is smaller than the sum of its proper divisors (43425216).

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

19080864 is a wasteful number, since it uses less digits than its factorization.

19080864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

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

The square root of 19080864 is about 4368.1648320548. The cubic root of 19080864 is about 267.2181863391.

The spelling of 19080864 in words is "nineteen million, eighty thousand, eight hundred sixty-four".