370020 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 84480.

The previous prime is 370009. The next prime is 370021. The reversal of 370020 is 20073.

370020 = T₁₂₅ + T₁₂₆ + ... + T₁₆₀.

It is a super-3 number, since 3×370020³ = 151983643332024000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 369978 and 370005.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 370020.

It is not an unprimeable number, because it can be changed into a prime (370021) by changing a digit.

370020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2³⁷⁰⁰²⁰ is an apocalyptic number.

370020 is a gapful number since it is divisible by the number (30) 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 370020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

370020 is an abundant number, since it is smaller than the sum of its proper divisors (815388).

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

370020 is a wasteful number, since it uses less digits than its factorization.

370020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 370020 is about 608.2926927064. The cubic root of 370020 is about 71.7918370207.

Adding to 370020 its reverse (20073), we get a palindrome (390093).

The spelling of 370020 in words is "three hundred seventy thousand, twenty", and thus it is an iban number.