168260400 has 360 divisors, whose sum is σ = 729191424. Its totient is φ = 34905600.

The previous prime is 168260381. The next prime is 168260431. The reversal of 168260400 is 4062861.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276897 + ... + 277503.

Almost surely, 2^168260400 is an apocalyptic number.

168260400 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 168260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364595712).

168260400 is an abundant number, since it is smaller than the sum of its proper divisors (560931024).

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

168260400 is a wasteful number, since it uses less digits than its factorization.

168260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 168260400 is about 12971.5226554171. The cubic root of 168260400 is about 552.0697769386.

The spelling of 168260400 in words is "one hundred sixty-eight million, two hundred sixty thousand, four hundred".