86259936 has 96 divisors (see below), whose sum is σ = 270079488. Its totient is φ = 23569920.

The previous prime is 86259931. The next prime is 86259967. The reversal of 86259936 is 63995268.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86259931) 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, 12666 + ... + 18246.

It is an arithmetic number, because the mean of its divisors is an integer number (2813328).

Almost surely, 2^86259936 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 86259936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135039744).

86259936 is an abundant number, since it is smaller than the sum of its proper divisors (183819552).

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

86259936 is a wasteful number, since it uses less digits than its factorization.

86259936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5616 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 86259936 is about 9287.6227313560. The cubic root of 86259936 is about 441.8447616561.

The spelling of 86259936 in words is "eighty-six million, two hundred fifty-nine thousand, nine hundred thirty-six".