86826580 has 48 divisors (see below), whose sum is σ = 198576000. Its totient is φ = 31764096.

The previous prime is 86826563. The next prime is 86826653. The reversal of 86826580 is 8562868.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7081 + ... + 14959.

It is an arithmetic number, because the mean of its divisors is an integer number (4137000).

Almost surely, 2^86826580 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 86826580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99288000).

86826580 is an abundant number, since it is smaller than the sum of its proper divisors (111749420).

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

86826580 is a wasteful number, since it uses less digits than its factorization.

86826580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7936 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 86826580 is about 9318.0781280262. The cubic root of 86826580 is about 442.8101478302.

The spelling of 86826580 in words is "eighty-six million, eight hundred twenty-six thousand, five hundred eighty".