168056460 has 144 divisors (see below), whose sum is σ = 598983840. Its totient is φ = 37601280.

The previous prime is 168056453. The next prime is 168056461. The reversal of 168056460 is 64650861.

168056460 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 5 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (168056461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22476 + ... + 29004.

It is an arithmetic number, because the mean of its divisors is an integer number (4159610).

Almost surely, 2^168056460 is an apocalyptic number.

168056460 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 168056460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299491920).

168056460 is an abundant number, since it is smaller than the sum of its proper divisors (430927380).

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

168056460 is a wasteful number, since it uses less digits than its factorization.

168056460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6568 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 168056460 is about 12963.6592056410. The cubic root of 168056460 is about 551.8466413923.

The spelling of 168056460 in words is "one hundred sixty-eight million, fifty-six thousand, four hundred sixty".