86548770 has 256 divisors, whose sum is σ = 301916160. Its totient is φ = 17107200.

The previous prime is 86548757. The next prime is 86548771. The reversal of 86548770 is 7784568.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86548771) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478080 + ... + 478260.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^86548770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86548770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

86548770 is an abundant number, since it is smaller than the sum of its proper divisors (215367390).

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

86548770 is a wasteful number, since it uses less digits than its factorization.

86548770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 86548770 is about 9303.1591408510. The cubic root of 86548770 is about 442.3373720106.

It can be divided in two parts, 8654 and 8770, that added together give a square (17424 = 132²).

The spelling of 86548770 in words is "eighty-six million, five hundred forty-eight thousand, seven hundred seventy".