86934090 has 96 divisors (see below), whose sum is σ = 228466944. Its totient is φ = 21150720.

The previous prime is 86934079. The next prime is 86934091. The reversal of 86934090 is 9043968.

It is a super-3 number, since 3×86934090³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86934091) 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 47 ways as a sum of consecutive naturals, for example, 320655 + ... + 320925.

It is an arithmetic number, because the mean of its divisors is an integer number (2379864).

Almost surely, 2^86934090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86934090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114233472).

86934090 is an abundant number, since it is smaller than the sum of its proper divisors (141532854).

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

86934090 is a wasteful number, since it uses less digits than its factorization.

86934090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 86934090 is about 9323.8452368108. The cubic root of 86934090 is about 442.9928372150.

The spelling of 86934090 in words is "eighty-six million, nine hundred thirty-four thousand, ninety".