19642560 has 224 divisors, whose sum is σ = 74127360. Its totient is φ = 4313088.

The previous prime is 19642547. The next prime is 19642573. The reversal of 19642560 is 6524691.

It is an interprime number because it is at equal distance from previous prime (19642547) and next prime (19642573).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248601 + ... + 248679.

Almost surely, 2^19642560 is an apocalyptic number.

19642560 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 19642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37063680).

19642560 is an abundant number, since it is smaller than the sum of its proper divisors (54484800).

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

19642560 is a wasteful number, since it uses less digits than its factorization.

19642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 19642560 is about 4431.9927797775. The cubic root of 19642560 is about 269.8149623814.

It can be divided in two parts, 19642 and 560, that added together give a palindrome (20202).

The spelling of 19642560 in words is "nineteen million, six hundred forty-two thousand, five hundred sixty".