83836880 has 20 divisors (see below), whose sum is σ = 194920932. Its totient is φ = 33534720.

The previous prime is 83836867. The next prime is 83836897. The reversal of 83836880 is 8863838.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50751376 + 33085504 = 7124^2 + 5752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×83836880³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 523901 + ... + 524060.

Almost surely, 2^83836880 is an apocalyptic number.

83836880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83836880 is an abundant number, since it is smaller than the sum of its proper divisors (111084052).

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

83836880 is a wasteful number, since it uses less digits than its factorization.

83836880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047974 (or 1047968 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 83836880 is about 9156.2481399316. The cubic root of 83836880 is about 437.6682433199.

The spelling of 83836880 in words is "eighty-three million, eight hundred thirty-six thousand, eight hundred eighty".