19481616 has 180 divisors, whose sum is σ = 69464304. Its totient is φ = 5040000.

The previous prime is 19481611. The next prime is 19481617. The reversal of 19481616 is 61618491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19481611) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 77491 + ... + 77741.

Almost surely, 2^19481616 is an apocalyptic number.

19481616 is a gapful number since it is divisible by the number (16) 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 19481616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732152).

19481616 is an abundant number, since it is smaller than the sum of its proper divisors (49982688).

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

19481616 is a wasteful number, since it uses less digits than its factorization.

19481616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 19481616 is about 4413.7983642210. The cubic root of 19481616 is about 269.0760185554.

It can be divided in two parts, 194 and 81616, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 19481616 in words is "nineteen million, four hundred eighty-one thousand, six hundred sixteen".