168246400 has 288 divisors, whose sum is σ = 513666900. Its totient is φ = 54190080.

The previous prime is 168246391. The next prime is 168246451. The reversal of 168246400 is 4642861.

It can be written as a sum of positive squares in 6 ways, for example, as 100480576 + 67765824 = 10024^2 + 8232^2 .

It is a super-2 number, since 2×168246400² = 56613702225920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4547182 + ... + 4547218.

Almost surely, 2^168246400 is an apocalyptic number.

168246400 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 168246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256833450).

168246400 is an abundant number, since it is smaller than the sum of its proper divisors (345420500).

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

168246400 is a wasteful number, since it uses less digits than its factorization.

168246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 168246400 is about 12970.9830005285. The cubic root of 168246400 is about 552.0544649752.

The spelling of 168246400 in words is "one hundred sixty-eight million, two hundred forty-six thousand, four hundred".