168972480 has 336 divisors, whose sum is σ = 629070624. Its totient is φ = 43130880.

The previous prime is 168972457. The next prime is 168972487. The reversal of 168972480 is 84279861.

168972480 is a `hidden beast` number, since 168 + 9 + 7 + 2 + 480 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168972487) 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, 3188134 + ... + 3188186.

It is an arithmetic number, because the mean of its divisors is an integer number (1872234).

Almost surely, 2^168972480 is an apocalyptic number.

168972480 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 168972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314535312).

168972480 is an abundant number, since it is smaller than the sum of its proper divisors (460098144).

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

168972480 is an equidigital number, since it uses as much as digits as its factorization.

168972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 168972480 is about 12998.9414953680. The cubic root of 168972480 is about 552.8474695055.

The spelling of 168972480 in words is "one hundred sixty-eight million, nine hundred seventy-two thousand, four hundred eighty".