18700416 has 128 divisors (see below), whose sum is σ = 63158400. Its totient is φ = 5336064.

The previous prime is 18700411. The next prime is 18700439. The reversal of 18700416 is 61400781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 18700416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18700411) 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, 23806 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (493425).

Almost surely, 2^18700416 is an apocalyptic number.

18700416 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 18700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31579200).

18700416 is an abundant number, since it is smaller than the sum of its proper divisors (44457984).

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

18700416 is an equidigital number, since it uses as much as digits as its factorization.

18700416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18700416 is about 4324.3977615386. The cubic root of 18700416 is about 265.4302539512.

The spelling of 18700416 in words is "eighteen million, seven hundred thousand, four hundred sixteen".