86146004 has 48 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 34245120.

The previous prime is 86145977. The next prime is 86146009. The reversal of 86146004 is 40064168.

It is a super-2 number, since 2×86146004² = 14842268010336032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86146009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32522 + ... + 35070.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^86146004 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 86146004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

86146004 is an abundant number, since it is smaller than the sum of its proper divisors (98922796).

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

86146004 is a wasteful number, since it uses less digits than its factorization.

86146004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 86146004 is about 9281.4871653200. The cubic root of 86146004 is about 441.6501466389.

The spelling of 86146004 in words is "eighty-six million, one hundred forty-six thousand, four".