86190804 has 180 divisors, whose sum is σ = 269396820. Its totient is φ = 23950080.

The previous prime is 86190803. The next prime is 86190829. The reversal of 86190804 is 40809168.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8398404 + 77792400 = 2898^2 + 8820^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86190803) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 968392 + ... + 968480.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 2^86190804 is an apocalyptic number.

86190804 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86190804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134698410).

86190804 is an abundant number, since it is smaller than the sum of its proper divisors (183206016).

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

86190804 is a wasteful number, since it uses less digits than its factorization.

86190804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 86190804 is about 9283.9002579735. The cubic root of 86190804 is about 441.7266930321.

The spelling of 86190804 in words is "eighty-six million, one hundred ninety thousand, eight hundred four".