19933992 has 128 divisors (see below), whose sum is σ = 61824000. Its totient is φ = 5909760.

The previous prime is 19933987. The next prime is 19933997. The reversal of 19933992 is 29933991.

It is an interprime number because it is at equal distance from previous prime (19933987) and next prime (19933997).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19933997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86934 + ... + 87162.

It is an arithmetic number, because the mean of its divisors is an integer number (483000).

Almost surely, 2^19933992 is an apocalyptic number.

19933992 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 19933992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30912000).

19933992 is an abundant number, since it is smaller than the sum of its proper divisors (41890008).

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

19933992 is a wasteful number, since it uses less digits than its factorization.

19933992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its digits is 118098, while the sum is 45.

The square root of 19933992 is about 4464.7499370066. The cubic root of 19933992 is about 271.1428104016.

Subtracting 19933992 from its reverse (29933991), we obtain a palindrome (9999999).

It can be divided in two parts, 199 and 33992, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 19933992 in words is "nineteen million, nine hundred thirty-three thousand, nine hundred ninety-two".