86945760 has 216 divisors, whose sum is σ = 326781000. Its totient is φ = 21035520.

The previous prime is 86945759. The next prime is 86945783. The reversal of 86945760 is 6754968.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173991 + ... + 174489.

It is an arithmetic number, because the mean of its divisors is an integer number (1512875).

Almost surely, 2^86945760 is an apocalyptic number.

86945760 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 86945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163390500).

86945760 is an abundant number, since it is smaller than the sum of its proper divisors (239835240).

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

86945760 is a wasteful number, since it uses less digits than its factorization.

86945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 86945760 is about 9324.4710305733. The cubic root of 86945760 is about 443.0126587261.

The spelling of 86945760 in words is "eighty-six million, nine hundred forty-five thousand, seven hundred sixty".