19956480 has 72 divisors (see below), whose sum is σ = 63748272. Its totient is φ = 5320704.

The previous prime is 19956457. The next prime is 19956481. The reversal of 19956480 is 8465991.

It is a super-2 number, since 2×19956480² = 796522187980800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19956481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1242 + ... + 6438.

Almost surely, 2^19956480 is an apocalyptic number.

19956480 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 19956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31874136).

19956480 is an abundant number, since it is smaller than the sum of its proper divisors (43791792).

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

19956480 is an equidigital number, since it uses as much as digits as its factorization.

19956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 19956480 is about 4467.2676212647. The cubic root of 19956480 is about 271.2447329210.

The spelling of 19956480 in words is "nineteen million, nine hundred fifty-six thousand, four hundred eighty".