19145664 has 84 divisors (see below), whose sum is σ = 56226456. Its totient is φ = 6225408.

The previous prime is 19145663. The next prime is 19145669. The reversal of 19145664 is 46654191.

19145664 is a `hidden beast` number, since 1 + 91 + 4 + 566 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19145663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24382 + ... + 25154.

Almost surely, 2^19145664 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 19145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28113228).

19145664 is an abundant number, since it is smaller than the sum of its proper divisors (37080792).

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

19145664 is a wasteful number, since it uses less digits than its factorization.

19145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 821 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 19145664 is about 4375.5758478171. The cubic root of 19145664 is about 267.5203420056.

The spelling of 19145664 in words is "nineteen million, one hundred forty-five thousand, six hundred sixty-four".