82016550 has 240 divisors, whose sum is σ = 285196032. Its totient is φ = 16977600.

The previous prime is 82016537. The next prime is 82016567. The reversal of 82016550 is 5561028.

82016550 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 655 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 311719 + ... + 311981.

Almost surely, 2^82016550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82016550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142598016).

82016550 is an abundant number, since it is smaller than the sum of its proper divisors (203179482).

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

82016550 is a wasteful number, since it uses less digits than its factorization.

82016550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 82016550 is about 9056.2989129114. The cubic root of 82016550 is about 434.4773747280.

Adding to 82016550 its reverse (5561028), we get a palindrome (87577578).

The spelling of 82016550 in words is "eighty-two million, sixteen thousand, five hundred fifty".