86515242 has 48 divisors (see below), whose sum is σ = 191328480. Its totient is φ = 26060320.

The previous prime is 86515241. The next prime is 86515243. The reversal of 86515242 is 24251568.

It is an interprime number because it is at equal distance from previous prime (86515241) and next prime (86515243).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (86515241) 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 23 ways as a sum of consecutive naturals, for example, 195073 + ... + 195515.

It is an arithmetic number, because the mean of its divisors is an integer number (3986010).

Almost surely, 2^86515242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86515242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95664240).

86515242 is an abundant number, since it is smaller than the sum of its proper divisors (104813238).

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

86515242 is a wasteful number, since it uses less digits than its factorization.

86515242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 86515242 is about 9301.3569977719. The cubic root of 86515242 is about 442.2802458265.

The spelling of 86515242 in words is "eighty-six million, five hundred fifteen thousand, two hundred forty-two".