83180820 has 48 divisors (see below), whose sum is σ = 236734848. Its totient is φ = 21816960.

The previous prime is 83180807. The next prime is 83180821. The reversal of 83180820 is 2808138.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83180821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7704 + ... + 15023.

It is an arithmetic number, because the mean of its divisors is an integer number (4931976).

Almost surely, 2^83180820 is an apocalyptic number.

It is an amenable number.

83180820 is an abundant number, since it is smaller than the sum of its proper divisors (153554028).

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

83180820 is a wasteful number, since it uses less digits than its factorization.

83180820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22800 (or 22798 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 83180820 is about 9120.3519668925. The cubic root of 83180820 is about 436.5236043074.

Adding to 83180820 its reverse (2808138), we get a palindrome (85988958).

The spelling of 83180820 in words is "eighty-three million, one hundred eighty thousand, eight hundred twenty".