83666520 has 480 divisors, whose sum is σ = 357540480. Its totient is φ = 17418240.

The previous prime is 83666483. The next prime is 83666549. The reversal of 83666520 is 2566638.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2698905 + ... + 2698935.

It is an arithmetic number, because the mean of its divisors is an integer number (744876).

Almost surely, 2^83666520 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 83666520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770240).

83666520 is an abundant number, since it is smaller than the sum of its proper divisors (273873960).

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

83666520 is a wasteful number, since it uses less digits than its factorization.

83666520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83666520 is about 9146.9404720923. The cubic root of 83666520 is about 437.3715889803.

The spelling of 83666520 in words is "eighty-three million, six hundred sixty-six thousand, five hundred twenty".