19290144 has 48 divisors (see below), whose sum is σ = 51825312. Its totient is φ = 6279168.

The previous prime is 19290137. The next prime is 19290151. The reversal of 19290144 is 44109291.

It is an interprime number because it is at equal distance from previous prime (19290137) and next prime (19290151).

It is a tau number, because it is divible by the number of its divisors (48).

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, 1792 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (1079694).

Almost surely, 2^19290144 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 19290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25912656).

19290144 is an abundant number, since it is smaller than the sum of its proper divisors (32535168).

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

19290144 is a wasteful number, since it uses less digits than its factorization.

19290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 19290144 is about 4392.0546444688. The cubic root of 19290144 is about 268.1915909282.

The spelling of 19290144 in words is "nineteen million, two hundred ninety thousand, one hundred forty-four".