168780420 has 144 divisors (see below), whose sum is σ = 570810240. Its totient is φ = 40117248.

The previous prime is 168780407. The next prime is 168780481. The reversal of 168780420 is 24087861.

168780420 is a `hidden beast` number, since 168 + 78 + 0 + 420 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56689 + ... + 59591.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 2^168780420 is an apocalyptic number.

168780420 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 168780420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

168780420 is an abundant number, since it is smaller than the sum of its proper divisors (402029820).

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

168780420 is a wasteful number, since it uses less digits than its factorization.

168780420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 168780420 is about 12991.5518703502. The cubic root of 168780420 is about 552.6379282049.

The spelling of 168780420 in words is "one hundred sixty-eight million, seven hundred eighty thousand, four hundred twenty".