86290344 has 96 divisors (see below), whose sum is σ = 268432320. Its totient is φ = 24530688.

The previous prime is 86290339. The next prime is 86290387. The reversal of 86290344 is 44309268.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86290299 and 86290308.

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 23 ways as a sum of consecutive naturals, for example, 157479 + ... + 158025.

It is an arithmetic number, because the mean of its divisors is an integer number (2796170).

Almost surely, 2^86290344 is an apocalyptic number.

86290344 is a gapful number since it is divisible by the number (84) 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 86290344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134216160).

86290344 is an abundant number, since it is smaller than the sum of its proper divisors (182141976).

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

86290344 is a wasteful number, since it uses less digits than its factorization.

86290344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86290344 is about 9289.2596045110. The cubic root of 86290344 is about 441.8966746595.

The spelling of 86290344 in words is "eighty-six million, two hundred ninety thousand, three hundred forty-four".