82667550 has 96 divisors (see below), whose sum is σ = 236484864. Its totient is φ = 18720000.

The previous prime is 82667527. The next prime is 82667551. The reversal of 82667550 is 5576628.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82667499 and 82667508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82667551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137250 + ... + 137850.

It is an arithmetic number, because the mean of its divisors is an integer number (2463384).

Almost surely, 2^82667550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82667550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118242432).

82667550 is an abundant number, since it is smaller than the sum of its proper divisors (153817314).

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

82667550 is a wasteful number, since it uses less digits than its factorization.

82667550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 82667550 is about 9092.1697080510. The cubic root of 82667550 is about 435.6238900788.

The spelling of 82667550 in words is "eighty-two million, six hundred sixty-seven thousand, five hundred fifty".