86729760 has 288 divisors, whose sum is σ = 329395248. Its totient is φ = 20643840.

The previous prime is 86729759. The next prime is 86729821. The reversal of 86729760 is 6792768.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 685584 + 86044176 = 828^2 + 9276^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767464 + ... + 767576.

Almost surely, 2^86729760 is an apocalyptic number.

86729760 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 86729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

86729760 is an abundant number, since it is smaller than the sum of its proper divisors (242665488).

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

86729760 is a wasteful number, since it uses less digits than its factorization.

86729760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 86729760 is about 9312.8814015857. The cubic root of 86729760 is about 442.6454946246.

The spelling of 86729760 in words is "eighty-six million, seven hundred twenty-nine thousand, seven hundred sixty".