16662400 has 96 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 6451200.

The previous prime is 16662343. The next prime is 16662403. The reversal of 16662400 is 426661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16662403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131137 + ... + 131263.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 2^16662400 is an apocalyptic number.

16662400 is a gapful number since it is divisible by the number (10) 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 16662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

16662400 is an abundant number, since it is smaller than the sum of its proper divisors (25834880).

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

16662400 is a wasteful number, since it uses less digits than its factorization.

16662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 16662400 is about 4081.9603133789. The cubic root of 16662400 is about 255.4146783581.

The spelling of 16662400 in words is "sixteen million, six hundred sixty-two thousand, four hundred".