19946880 has 96 divisors (see below), whose sum is σ = 68898960. Its totient is φ = 5317632.

The previous prime is 19946863. The next prime is 19946881. The reversal of 19946880 is 8864991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19946881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4029 + ... + 7491.

Almost surely, 2^19946880 is an apocalyptic number.

19946880 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 19946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34449480).

19946880 is an abundant number, since it is smaller than the sum of its proper divisors (48952080).

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

19946880 is a wasteful number, since it uses less digits than its factorization.

19946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19946880 is about 4466.1930097120. The cubic root of 19946880 is about 271.2012321452.

The spelling of 19946880 in words is "nineteen million, nine hundred forty-six thousand, eight hundred eighty".