19983552 has 112 divisors (see below), whose sum is σ = 56753760. Its totient is φ = 6193152.

The previous prime is 19983547. The next prime is 19983553. The reversal of 19983552 is 25538991.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (19983553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205968 + ... + 206064.

It is an arithmetic number, because the mean of its divisors is an integer number (506730).

Almost surely, 2^19983552 is an apocalyptic number.

19983552 is a gapful number since it is divisible by the number (12) 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 19983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28376880).

19983552 is an abundant number, since it is smaller than the sum of its proper divisors (36770208).

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

19983552 is a wasteful number, since it uses less digits than its factorization.

19983552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 19983552 is about 4470.2966344528. The cubic root of 19983552 is about 271.3673300166.

It can be divided in two parts, 1998 and 3552, that multiplied together give a square (7096896 = 2664²).

The spelling of 19983552 in words is "nineteen million, nine hundred eighty-three thousand, five hundred fifty-two".