86067104 has 48 divisors (see below), whose sum is σ = 177847488. Its totient is φ = 40922112.

The previous prime is 86067089. The next prime is 86067119. The reversal of 86067104 is 40176068.

It is an interprime number because it is at equal distance from previous prime (86067089) and next prime (86067119).

It is a super-3 number, since 3×86067104³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247859 + ... + 248205.

It is an arithmetic number, because the mean of its divisors is an integer number (3705156).

Almost surely, 2^86067104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88923744).

86067104 is an abundant number, since it is smaller than the sum of its proper divisors (91780384).

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

86067104 is a wasteful number, since it uses less digits than its factorization.

86067104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 86067104 is about 9277.2357952140. The cubic root of 86067104 is about 441.5152715867.

The spelling of 86067104 in words is "eighty-six million, sixty-seven thousand, one hundred four".