173820120 has 128 divisors (see below), whose sum is σ = 535550400. Its totient is φ = 45121536.

The previous prime is 173820107. The next prime is 173820133. The reversal of 173820120 is 21028371.

It is an interprime number because it is at equal distance from previous prime (173820107) and next prime (173820133).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268692 + ... + 1268828.

Almost surely, 2^173820120 is an apocalyptic number.

173820120 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 173820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267775200).

173820120 is an abundant number, since it is smaller than the sum of its proper divisors (361730280).

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

173820120 is a wasteful number, since it uses less digits than its factorization.

173820120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 173820120 is about 13184.0858613709. The cubic root of 173820120 is about 558.0845698570.

Adding to 173820120 its reverse (21028371), we get a palindrome (194848491).

The spelling of 173820120 in words is "one hundred seventy-three million, eight hundred twenty thousand, one hundred twenty".