82850688 has 160 divisors (see below), whose sum is σ = 252517320. Its totient is φ = 26956800.

The previous prime is 82850633. The next prime is 82850701. The reversal of 82850688 is 88605828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632383 + ... + 632513.

Almost surely, 2^82850688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126258660).

82850688 is an abundant number, since it is smaller than the sum of its proper divisors (169666632).

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

82850688 is a wasteful number, since it uses less digits than its factorization.

82850688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 82850688 is about 9102.2353298517. The cubic root of 82850688 is about 435.9453400602.

It can be divided in two parts, 82850 and 688, that added together give a palindrome (83538).

The spelling of 82850688 in words is "eighty-two million, eight hundred fifty thousand, six hundred eighty-eight".