19928160 has 192 divisors, whose sum is σ = 79833600. Its totient is φ = 4548096.

The previous prime is 19928149. The next prime is 19928171. The reversal of 19928160 is 6182991.

Added to its reverse (6182991) it gives a triangular number (26111151 = T₇₂₂₆).

It is an interprime number because it is at equal distance from previous prime (19928149) and next prime (19928171).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 29911 + ... + 30569.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^19928160 is an apocalyptic number.

19928160 is a gapful number since it is divisible by the number (10) 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 19928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

19928160 is an abundant number, since it is smaller than the sum of its proper divisors (59905440).

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

19928160 is a wasteful number, since it uses less digits than its factorization.

19928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19928160 is about 4464.0967731446. The cubic root of 19928160 is about 271.1163654709.

Adding to 19928160 its reverse (6182991), we get a triangular number (26111151 = T₇₂₂₆).

The spelling of 19928160 in words is "nineteen million, nine hundred twenty-eight thousand, one hundred sixty".