86259420 has 144 divisors (see below), whose sum is σ = 284723712. Its totient is φ = 21012480.

The previous prime is 86259409. The next prime is 86259431. The reversal of 86259420 is 2495268.

It is a happy number.

86259420 is a `hidden beast` number, since 8 + 62 + 594 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86259409) and next prime (86259431).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446844 + ... + 447036.

It is an arithmetic number, because the mean of its divisors is an integer number (1977248).

Almost surely, 2^86259420 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 86259420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142361856).

86259420 is an abundant number, since it is smaller than the sum of its proper divisors (198464292).

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

86259420 is a wasteful number, since it uses less digits than its factorization.

86259420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86259420 is about 9287.5949524083. The cubic root of 86259420 is about 441.8438806277.

The spelling of 86259420 in words is "eighty-six million, two hundred fifty-nine thousand, four hundred twenty".