83872820 has 24 divisors (see below), whose sum is σ = 176873928. Its totient is φ = 33408000.

The previous prime is 83872801. The next prime is 83872823. The reversal of 83872820 is 2827838.

It can be written as a sum of positive squares in 4 ways, for example, as 19166884 + 64705936 = 4378^2 + 8044^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83872823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3881 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (7369747).

Almost surely, 2^83872820 is an apocalyptic number.

It is an amenable number.

83872820 is an abundant number, since it is smaller than the sum of its proper divisors (93001108).

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

83872820 is a wasteful number, since it uses less digits than its factorization.

83872820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17651 (or 17649 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 83872820 is about 9158.2105238960. The cubic root of 83872820 is about 437.7307756623.

The spelling of 83872820 in words is "eighty-three million, eight hundred seventy-two thousand, eight hundred twenty".