168783400 has 48 divisors (see below), whose sum is σ = 393529500. Its totient is φ = 67322880.

The previous prime is 168783397. The next prime is 168783449. The reversal of 168783400 is 4387861.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51581124 + 117202276 = 7182^2 + 10826^2 .

It is a super-2 number, since 2×168783400² = 56975672231120000, 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 168783400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85626 + ... + 87574.

Almost surely, 2^168783400 is an apocalyptic number.

168783400 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 168783400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196764750).

168783400 is an abundant number, since it is smaller than the sum of its proper divisors (224746100).

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

168783400 is a wasteful number, since it uses less digits than its factorization.

168783400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 168783400 is about 12991.6665597605. Note that the first 3 decimals coincide. The cubic root of 168783400 is about 552.6411806583.

The spelling of 168783400 in words is "one hundred sixty-eight million, seven hundred eighty-three thousand, four hundred".