83630920 has 32 divisors (see below), whose sum is σ = 188577720. Its totient is φ = 33379840.

The previous prime is 83630893. The next prime is 83630927. The reversal of 83630920 is 2903638.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71673156 + 11957764 = 8466^2 + 3458^2 .

It is not an unprimeable number, because it can be changed into a prime (83630927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18834 + ... + 22846.

Almost surely, 2^83630920 is an apocalyptic number.

It is an amenable number.

83630920 is an abundant number, since it is smaller than the sum of its proper divisors (104946800).

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

83630920 is a wasteful number, since it uses less digits than its factorization.

83630920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 83630920 is about 9144.9942591562. The cubic root of 83630920 is about 437.3095464911.

The spelling of 83630920 in words is "eighty-three million, six hundred thirty thousand, nine hundred twenty".