19248264 has 96 divisors (see below), whose sum is σ = 60191040. Its totient is φ = 5443200.

The previous prime is 19248259. The next prime is 19248269. The reversal of 19248264 is 46284291.

It is an interprime number because it is at equal distance from previous prime (19248259) and next prime (19248269).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19248269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91119 + ... + 91329.

It is an arithmetic number, because the mean of its divisors is an integer number (626990).

Almost surely, 2^19248264 is an apocalyptic number.

19248264 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 19248264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30095520).

19248264 is an abundant number, since it is smaller than the sum of its proper divisors (40942776).

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

19248264 is a wasteful number, since it uses less digits than its factorization.

19248264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 19248264 is about 4387.2843536748. The cubic root of 19248264 is about 267.9973639007.

The spelling of 19248264 in words is "nineteen million, two hundred forty-eight thousand, two hundred sixty-four".