19557948 has 48 divisors (see below), whose sum is σ = 48343680. Its totient is φ = 6143424.

The previous prime is 19557947. The next prime is 19557953. The reversal of 19557948 is 84975591.

It is a junction number, because it is equal to n+sod(n) for n = 19557897 and 19557906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19557947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14311 + ... + 15617.

It is an arithmetic number, because the mean of its divisors is an integer number (1007160).

Almost surely, 2^19557948 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 19557948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24171840).

19557948 is an abundant number, since it is smaller than the sum of its proper divisors (28785732).

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

19557948 is a wasteful number, since it uses less digits than its factorization.

19557948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1384 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The square root of 19557948 is about 4422.4368847955. The cubic root of 19557948 is about 269.4269877930.

The spelling of 19557948 in words is "nineteen million, five hundred fifty-seven thousand, nine hundred forty-eight".