16746400 has 108 divisors (see below), whose sum is σ = 45196326. Its totient is φ = 6054400.

The previous prime is 16746397. The next prime is 16746403. The reversal of 16746400 is 464761.

It is an interprime number because it is at equal distance from previous prime (16746397) and next prime (16746403).

It can be written as a sum of positive squares in 3 ways, for example, as 15335056 + 1411344 = 3916^2 + 1188^2 .

It is not an unprimeable number, because it can be changed into a prime (16746403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96714 + ... + 96886.

Almost surely, 2^16746400 is an apocalyptic number.

16746400 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 16746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22598163).

16746400 is an abundant number, since it is smaller than the sum of its proper divisors (28449926).

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

16746400 is a wasteful number, since it uses less digits than its factorization.

16746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 16746400 is about 4092.2365523024. The cubic root of 16746400 is about 255.8431656563.

The spelling of 16746400 in words is "sixteen million, seven hundred forty-six thousand, four hundred".