16168400 has 60 divisors (see below), whose sum is σ = 39393312. Its totient is φ = 6376320.

The previous prime is 16168393. The next prime is 16168403. The reversal of 16168400 is 486161.

Added to its reverse (486161) it gives a square (16654561 = 4081²).

It is a super-2 number, since 2×16168400² = 522834317120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16168400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16168403) 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, 32957 + ... + 33443.

Almost surely, 2^16168400 is an apocalyptic number.

16168400 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 16168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19696656).

16168400 is an abundant number, since it is smaller than the sum of its proper divisors (23224912).

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

16168400 is a wasteful number, since it uses less digits than its factorization.

16168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 16168400 is about 4020.9949017625. The cubic root of 16168400 is about 252.8651710682.

Adding to 16168400 its reverse (486161), we get a square (16654561 = 4081²).

The spelling of 16168400 in words is "sixteen million, one hundred sixty-eight thousand, four hundred".