83566080 has 400 divisors, whose sum is σ = 332728704. Its totient is φ = 19906560.

The previous prime is 83566057. The next prime is 83566103. The reversal of 83566080 is 8066538.

It is an interprime number because it is at equal distance from previous prime (83566057) and next prime (83566103).

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 39 ways as a sum of consecutive naturals, for example, 2695665 + ... + 2695695.

Almost surely, 2^83566080 is an apocalyptic number.

83566080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

83566080 is an abundant number, since it is smaller than the sum of its proper divisors (249162624).

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

83566080 is a wasteful number, since it uses less digits than its factorization.

83566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 83566080 is about 9141.4484629078. The cubic root of 83566080 is about 437.1965002551.

The spelling of 83566080 in words is "eighty-three million, five hundred sixty-six thousand, eighty".