168461600 has 72 divisors (see below), whose sum is σ = 432941040. Its totient is φ = 63832320.

The previous prime is 168461599. The next prime is 168461611. The reversal of 168461600 is 6164861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 9659 + ... + 20741.

It is an arithmetic number, because the mean of its divisors is an integer number (6013070).

Almost surely, 2^168461600 is an apocalyptic number.

168461600 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 168461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216470520).

168461600 is an abundant number, since it is smaller than the sum of its proper divisors (264479440).

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

168461600 is a wasteful number, since it uses less digits than its factorization.

168461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 168461600 is about 12979.2757887334. The cubic root of 168461600 is about 552.2897379726.

The spelling of 168461600 in words is "one hundred sixty-eight million, four hundred sixty-one thousand, six hundred".