202166400 has 96 divisors (see below), whose sum is σ = 665917200. Its totient is φ = 53908480.

The previous prime is 202166399. The next prime is 202166413. The reversal of 202166400 is 4661202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 930 + ... + 20129.

Almost surely, 2^202166400 is an apocalyptic number.

202166400 is a gapful number since it is divisible by the number (20) 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 202166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332958600).

202166400 is an abundant number, since it is smaller than the sum of its proper divisors (463750800).

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

202166400 is a wasteful number, since it uses less digits than its factorization.

202166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21086 (or 21069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 202166400 is about 14218.5231300582. The cubic root of 202166400 is about 586.9074998362.

It can be divided in two parts, 202166 and 400, that added together give a triangular number (202566 = T₆₃₆).

The spelling of 202166400 in words is "two hundred two million, one hundred sixty-six thousand, four hundred".