19834416 has 120 divisors (see below), whose sum is σ = 66297840. Its totient is φ = 5660928.

The previous prime is 19834411. The next prime is 19834429. The reversal of 19834416 is 61443891.

It is a super-2 number, since 2×19834416² = 786808116122112, which contains 22 as substring.

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 (19834411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20700 + ... + 21636.

It is an arithmetic number, because the mean of its divisors is an integer number (552482).

Almost surely, 2^19834416 is an apocalyptic number.

19834416 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 19834416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33148920).

19834416 is an abundant number, since it is smaller than the sum of its proper divisors (46463424).

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

19834416 is a wasteful number, since it uses less digits than its factorization.

19834416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 949 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 19834416 is about 4453.5846236487. The cubic root of 19834416 is about 270.6905778849.

The spelling of 19834416 in words is "nineteen million, eight hundred thirty-four thousand, four hundred sixteen".