168947460 has 108 divisors (see below), whose sum is σ = 563370444. Its totient is φ = 40951680.

The previous prime is 168947459. The next prime is 168947461. The reversal of 168947460 is 64749861.

It is an interprime number because it is at equal distance from previous prime (168947459) and next prime (168947461).

It can be written as a sum of positive squares in 2 ways, for example, as 101969604 + 66977856 = 10098^2 + 8184^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (168947461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17902 + ... + 25658.

It is an arithmetic number, because the mean of its divisors is an integer number (5216393).

Almost surely, 2^168947460 is an apocalyptic number.

168947460 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 168947460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281685222).

168947460 is an abundant number, since it is smaller than the sum of its proper divisors (394422984).

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

168947460 is a wasteful number, since it uses less digits than its factorization.

168947460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 168947460 is about 12997.9790736868. The cubic root of 168947460 is about 552.8201811832.

The spelling of 168947460 in words is "one hundred sixty-eight million, nine hundred forty-seven thousand, four hundred sixty".