168119820 has 288 divisors, whose sum is σ = 600606720. Its totient is φ = 38966400.

The previous prime is 168119813. The next prime is 168119849. The reversal of 168119820 is 28911861.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2025499 + ... + 2025581.

It is an arithmetic number, because the mean of its divisors is an integer number (2085440).

Almost surely, 2^168119820 is an apocalyptic number.

168119820 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 168119820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300303360).

168119820 is an abundant number, since it is smaller than the sum of its proper divisors (432486900).

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

168119820 is a wasteful number, since it uses less digits than its factorization.

168119820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 168119820 is about 12966.1027298105. The cubic root of 168119820 is about 551.9159843777.

The spelling of 168119820 in words is "one hundred sixty-eight million, one hundred nineteen thousand, eight hundred twenty".