19942560 has 144 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 4830720.

The previous prime is 19942543. The next prime is 19942567. The reversal of 19942560 is 6524991.

19942560 is a `hidden beast` number, since 1 + 9 + 94 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (19942567) 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, 15211 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^19942560 is an apocalyptic number.

19942560 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 19942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

19942560 is an abundant number, since it is smaller than the sum of its proper divisors (54357120).

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

19942560 is a wasteful number, since it uses less digits than its factorization.

19942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 19942560 is about 4465.7093501481. The cubic root of 19942560 is about 271.1816522424.

Subtracting from 19942560 its reverse (6524991), we obtain a square (13417569 = 3663²).

It can be divided in two parts, 19942 and 560, that added together give a palindrome (20502).

The spelling of 19942560 in words is "nineteen million, nine hundred forty-two thousand, five hundred sixty".