19964560 has 120 divisors (see below), whose sum is σ = 59031936. Its totient is φ = 6209280.

The previous prime is 19964537. The next prime is 19964563. The reversal of 19964560 is 6546991.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (19964563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42889 + ... + 43351.

Almost surely, 2^19964560 is an apocalyptic number.

19964560 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 19964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29515968).

19964560 is an abundant number, since it is smaller than the sum of its proper divisors (39067376).

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

19964560 is a wasteful number, since it uses less digits than its factorization.

19964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 19964560 is about 4468.1718856821. The cubic root of 19964560 is about 271.2813352631.

Subtracting from 19964560 its reverse (6546991), we obtain a square (13417569 = 3663²).

It can be divided in two parts, 1996 and 4560, that added together give a palindrome (6556).

The spelling of 19964560 in words is "nineteen million, nine hundred sixty-four thousand, five hundred sixty".