19981464 has 64 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 6088320.

The previous prime is 19981463. The next prime is 19981523. The reversal of 19981464 is 46418991.

It is a super-3 number, since 3×19981464³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19981463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12469 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^19981464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19981464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

19981464 is an abundant number, since it is smaller than the sum of its proper divisors (34450536).

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

19981464 is a wasteful number, since it uses less digits than its factorization.

19981464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1564 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 19981464 is about 4470.0630868031. The cubic root of 19981464 is about 271.3578783316.

The spelling of 19981464 in words is "nineteen million, nine hundred eighty-one thousand, four hundred sixty-four".