86174064 has 80 divisors (see below), whose sum is σ = 253158400. Its totient is φ = 28050624.

The previous prime is 86174059. The next prime is 86174093. The reversal of 86174064 is 46047168.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16257 + ... + 20895.

It is an arithmetic number, because the mean of its divisors is an integer number (3164480).

Almost surely, 2^86174064 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 86174064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126579200).

86174064 is an abundant number, since it is smaller than the sum of its proper divisors (166984336).

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

86174064 is a wasteful number, since it uses less digits than its factorization.

86174064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86174064 is about 9282.9986534525. The cubic root of 86174064 is about 441.6980937568.

The spelling of 86174064 in words is "eighty-six million, one hundred seventy-four thousand, sixty-four".