86545760 has 192 divisors, whose sum is σ = 254016000. Its totient is φ = 27772416.

The previous prime is 86545733. The next prime is 86545783. The reversal of 86545760 is 6754568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042679 + ... + 1042761.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^86545760 is an apocalyptic number.

86545760 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 86545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

86545760 is an abundant number, since it is smaller than the sum of its proper divisors (167470240).

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

86545760 is a wasteful number, since it uses less digits than its factorization.

86545760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 86545760 is about 9302.9973664406. The cubic root of 86545760 is about 442.3322440697.

The spelling of 86545760 in words is "eighty-six million, five hundred forty-five thousand, seven hundred sixty".