86096010 has 256 divisors, whose sum is σ = 287981568. Its totient is φ = 15897600.

The previous prime is 86095993. The next prime is 86096027. The reversal of 86096010 is 1069068.

86096010 = T₁₅₉₅ + T₁₅₉₆ + ... + T₁₆₅₉.

It is an interprime number because it is at equal distance from previous prime (86095993) and next prime (86096027).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1411380 + ... + 1411440.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^86096010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86096010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

86096010 is an abundant number, since it is smaller than the sum of its proper divisors (201885558).

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

86096010 is a wasteful number, since it uses less digits than its factorization.

86096010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 86096010 is about 9278.7935638207. The cubic root of 86096010 is about 441.5646943097.

The spelling of 86096010 in words is "eighty-six million, ninety-six thousand, ten".