19964160 has 108 divisors (see below), whose sum is σ = 69113772. Its totient is φ = 5320704.

The previous prime is 19964159. The next prime is 19964173. The reversal of 19964160 is 6146991.

Added to its reverse (6146991) it gives a triangular number (26111151 = T₇₂₂₆).

19964160 is a `hidden beast` number, since 1 + 9 + 9 + 641 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 11943936 = 2832^2 + 3456^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10654 + ... + 12386.

Almost surely, 2^19964160 is an apocalyptic number.

19964160 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 19964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34556886).

19964160 is an abundant number, since it is smaller than the sum of its proper divisors (49149612).

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

19964160 is a wasteful number, since it uses less digits than its factorization.

19964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19964160 is about 4468.1271244225. The cubic root of 19964160 is about 271.2795234983.

Adding to 19964160 its reverse (6146991), we get a triangular number (26111151 = T₇₂₂₆).

The spelling of 19964160 in words is "nineteen million, nine hundred sixty-four thousand, one hundred sixty".