237820 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 80960.

The previous prime is 237791. The next prime is 237821. The reversal of 237820 is 28732.

It is a happy number.

237820 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 237791 and 237800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (237821) by changing a digit.

237820 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, 5037 + ... + 5083.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2²³⁷⁸²⁰ is an apocalyptic number.

237820 is a gapful number since it is divisible by the number (20) 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 237820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

237820 is an abundant number, since it is smaller than the sum of its proper divisors (342788).

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

237820 is a wasteful number, since it uses less digits than its factorization.

237820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 237820 is about 487.6679197979. The cubic root of 237820 is about 61.9559173288.

The spelling of 237820 in words is "two hundred thirty-seven thousand, eight hundred twenty".