19942416 has 160 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 5930496.

The previous prime is 19942397. The next prime is 19942423. The reversal of 19942416 is 61424991.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 297615 + ... + 297681.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 2^19942416 is an apocalyptic number.

19942416 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 19942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

19942416 is an abundant number, since it is smaller than the sum of its proper divisors (43803504).

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

19942416 is a wasteful number, since it uses less digits than its factorization.

19942416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 19942416 is about 4465.6932272605. The cubic root of 19942416 is about 271.1809995303.

The spelling of 19942416 in words is "nineteen million, nine hundred forty-two thousand, four hundred sixteen".