19948824 has 48 divisors (see below), whose sum is σ = 61747920. Its totient is φ = 5699520.

The previous prime is 19948823. The next prime is 19948847. The reversal of 19948824 is 42884991.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19948824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19948823) 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, 19287 + ... + 20294.

It is an arithmetic number, because the mean of its divisors is an integer number (1286415).

Almost surely, 2^19948824 is an apocalyptic number.

19948824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19948824 is an abundant number, since it is smaller than the sum of its proper divisors (41799096).

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

19948824 is a wasteful number, since it uses less digits than its factorization.

19948824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39600 (or 39593 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 19948824 is about 4466.4106394285. The cubic root of 19948824 is about 271.2100421791.

The spelling of 19948824 in words is "nineteen million, nine hundred forty-eight thousand, eight hundred twenty-four".