86790340 has 96 divisors (see below), whose sum is σ = 229743360. Its totient is φ = 26804736.

The previous prime is 86790337. The next prime is 86790343. The reversal of 86790340 is 4309768.

It is an interprime number because it is at equal distance from previous prime (86790337) and next prime (86790343).

It is a self number, because there is not a number n which added to its sum of digits gives 86790340.

It is not an unprimeable number, because it can be changed into a prime (86790343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77706 + ... + 78814.

It is an arithmetic number, because the mean of its divisors is an integer number (2393160).

Almost surely, 2^86790340 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 86790340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114871680).

86790340 is an abundant number, since it is smaller than the sum of its proper divisors (142953020).

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

86790340 is a wasteful number, since it uses less digits than its factorization.

86790340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 86790340 is about 9316.1333180671. The cubic root of 86790340 is about 442.7485320096.

The spelling of 86790340 in words is "eighty-six million, seven hundred ninety thousand, three hundred forty".