19950960 has 80 divisors (see below), whose sum is σ = 62558496. Its totient is φ = 5259264.

The previous prime is 19950947. The next prime is 19950977. The reversal of 19950960 is 6905991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22852 + ... + 23708.

Almost surely, 2^19950960 is an apocalyptic number.

19950960 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 19950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31279248).

19950960 is an abundant number, since it is smaller than the sum of its proper divisors (42607536).

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

19950960 is a wasteful number, since it uses less digits than its factorization.

19950960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 19950960 is about 4466.6497512118. The cubic root of 19950960 is about 271.2197216799.

It can be divided in two parts, 19950 and 960, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 19950960 in words is "nineteen million, nine hundred fifty thousand, nine hundred sixty".