86476000 has 96 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 31910400.

The previous prime is 86475989. The next prime is 86476001. The reversal of 86476000 is 67468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86476001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51169 + ... + 52831.

It is an arithmetic number, because the mean of its divisors is an integer number (2384928).

Almost surely, 2^86476000 is an apocalyptic number.

86476000 is a gapful number since it is divisible by the number (80) 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 86476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

86476000 is an abundant number, since it is smaller than the sum of its proper divisors (142477088).

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

86476000 is a wasteful number, since it uses less digits than its factorization.

86476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 86476000 is about 9299.2472813664. The cubic root of 86476000 is about 442.2133651791.

The spelling of 86476000 in words is "eighty-six million, four hundred seventy-six thousand".