83866900 has 36 divisors (see below), whose sum is σ = 195993532. Its totient is φ = 30965760.

The previous prime is 83866891. The next prime is 83866903. The reversal of 83866900 is 966838.

It can be written as a sum of positive squares in 6 ways, for example, as 18645124 + 65221776 = 4318^2 + 8076^2 .

It is a super-2 number, since 2×83866900² = 14067313831220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83866903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30957 + ... + 33556.

Almost surely, 2^83866900 is an apocalyptic number.

It is an amenable number.

83866900 is an abundant number, since it is smaller than the sum of its proper divisors (112126632).

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

83866900 is a wasteful number, since it uses less digits than its factorization.

83866900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64540 (or 64533 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 83866900 is about 9157.8873109468. The cubic root of 83866900 is about 437.7204766280.

The spelling of 83866900 in words is "eighty-three million, eight hundred sixty-six thousand, nine hundred".