19930624 has 80 divisors (see below), whose sum is σ = 46747008. Its totient is φ = 8312832.

The previous prime is 19930609. The next prime is 19930637. The reversal of 19930624 is 42603991.

It is a self number, because there is not a number n which added to its sum of digits gives 19930624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240087 + ... + 240169.

Almost surely, 2^19930624 is an apocalyptic number.

19930624 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 19930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373504).

19930624 is an abundant number, since it is smaller than the sum of its proper divisors (26816384).

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

19930624 is an frugal number, since it uses more digits than its factorization.

19930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 19930624 is about 4464.3727442945. The cubic root of 19930624 is about 271.1275389928.

The spelling of 19930624 in words is "nineteen million, nine hundred thirty thousand, six hundred twenty-four".