86339440 has 80 divisors (see below), whose sum is σ = 224423136. Its totient is φ = 30617600.

The previous prime is 86339437. The next prime is 86339443. The reversal of 86339440 is 4493368.

It is an interprime number because it is at equal distance from previous prime (86339437) and next prime (86339443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86339440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86339443) 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, 34884 + ... + 37276.

Almost surely, 2^86339440 is an apocalyptic number.

86339440 is a gapful number since it is divisible by the number (80) 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 86339440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568).

86339440 is an abundant number, since it is smaller than the sum of its proper divisors (138083696).

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

86339440 is a wasteful number, since it uses less digits than its factorization.

86339440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 86339440 is about 9291.9018505363. The cubic root of 86339440 is about 441.9804663671.

The spelling of 86339440 in words is "eighty-six million, three hundred thirty-nine thousand, four hundred forty".