19944960 has 240 divisors, whose sum is σ = 75571056. Its totient is φ = 4472832.

The previous prime is 19944943. The next prime is 19944973. The reversal of 19944960 is 6944991.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 376294 + ... + 376346.

Almost surely, 2^19944960 is an apocalyptic number.

19944960 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 19944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37785528).

19944960 is an abundant number, since it is smaller than the sum of its proper divisors (55626096).

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

19944960 is an equidigital number, since it uses as much as digits as its factorization.

19944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 19944960 is about 4465.9780563724. The cubic root of 19944960 is about 271.1925303152.

The spelling of 19944960 in words is "nineteen million, nine hundred forty-four thousand, nine hundred sixty".