16086400 has 96 divisors (see below), whose sum is σ = 43445880. Its totient is φ = 5836800.

The previous prime is 16086397. The next prime is 16086419. The reversal of 16086400 is 468061.

16086400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

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, 34972 + ... + 35428.

Almost surely, 2^16086400 is an apocalyptic number.

16086400 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 16086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21722940).

16086400 is an abundant number, since it is smaller than the sum of its proper divisors (27359480).

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

16086400 is a wasteful number, since it uses less digits than its factorization.

16086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 16086400 is about 4010.7854592336. The cubic root of 16086400 is about 252.4369675686.

It can be divided in two parts, 1608 and 6400, that added together give a palindrome (8008).

The spelling of 16086400 in words is "sixteen million, eighty-six thousand, four hundred".