19225864 has 32 divisors (see below), whose sum is σ = 41771520. Its totient is φ = 8125056.

The previous prime is 19225849. The next prime is 19225873. The reversal of 19225864 is 46852291.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1737 + ... + 6439.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 2^19225864 is an apocalyptic number.

19225864 is a gapful number since it is divisible by the number (14) 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 19225864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885760).

19225864 is an abundant number, since it is smaller than the sum of its proper divisors (22545656).

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

19225864 is a wasteful number, since it uses less digits than its factorization.

19225864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4785 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 19225864 is about 4384.7307785085. The cubic root of 19225864 is about 267.8933636792.

The spelling of 19225864 in words is "nineteen million, two hundred twenty-five thousand, eight hundred sixty-four".