168020820 has 72 divisors (see below), whose sum is σ = 556002720. Its totient is φ = 40731840.

The previous prime is 168020807. The next prime is 168020821. The reversal of 168020820 is 28020861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168020821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40450 + ... + 44409.

It is an arithmetic number, because the mean of its divisors is an integer number (7722260).

Almost surely, 2^168020820 is an apocalyptic number.

168020820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168020820 is an abundant number, since it is smaller than the sum of its proper divisors (387981900).

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

168020820 is a wasteful number, since it uses less digits than its factorization.

168020820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84885 (or 84880 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168020820 is about 12962.2845208705. The cubic root of 168020820 is about 551.8076283035.

It can be divided in two parts, 1680 and 20820, that added together give a square (22500 = 150²).

The spelling of 168020820 in words is "one hundred sixty-eight million, twenty thousand, eight hundred twenty".