16006400 has 108 divisors (see below), whose sum is σ = 41249964. Its totient is φ = 6144000.

The previous prime is 16006357. The next prime is 16006421. The reversal of 16006400 is 460061.

It can be written as a sum of positive squares in 6 ways, for example, as 7054336 + 8952064 = 2656^2 + 2992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262370 + ... + 262430.

Almost surely, 2^16006400 is an apocalyptic number.

16006400 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 16006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624982).

16006400 is an abundant number, since it is smaller than the sum of its proper divisors (25243564).

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

16006400 is an equidigital number, since it uses as much as digits as its factorization.

16006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 16006400 is about 4000.7999200160. The cubic root of 16006400 is about 252.0178033949.

Adding to 16006400 its reverse (460061), we get a palindrome (16466461).

It can be divided in two parts, 1600 and 6400, that multiplied together give a square (10240000 = 3200²).

The spelling of 16006400 in words is "sixteen million, six thousand, four hundred".