83088126 has 64 divisors (see below), whose sum is σ = 206173440. Its totient is φ = 24585120.

The previous prime is 83088079. The next prime is 83088127. The reversal of 83088126 is 62188038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83088127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23916 + ... + 27168.

It is an arithmetic number, because the mean of its divisors is an integer number (3221460).

Almost surely, 2^83088126 is an apocalyptic number.

83088126 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 83088126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103086720).

83088126 is an abundant number, since it is smaller than the sum of its proper divisors (123085314).

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

83088126 is a wasteful number, since it uses less digits than its factorization.

83088126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 83088126 is about 9115.2688386026. The cubic root of 83088126 is about 436.3613948038.

The spelling of 83088126 in words is "eighty-three million, eighty-eight thousand, one hundred twenty-six".