168480040 has 64 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 64392960.

The previous prime is 168480031. The next prime is 168480043. The reversal of 168480040 is 40084861.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 168479984 and 168480011.

It is not an unprimeable number, because it can be changed into a prime (168480043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102102 + ... + 103738.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^168480040 is an apocalyptic number.

168480040 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 168480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

168480040 is an abundant number, since it is smaller than the sum of its proper divisors (227784920).

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

168480040 is a wasteful number, since it uses less digits than its factorization.

168480040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 168480040 is about 12979.9861325041. The cubic root of 168480040 is about 552.3098886602.

The spelling of 168480040 in words is "one hundred sixty-eight million, four hundred eighty thousand, forty".