86430240 has 384 divisors, whose sum is σ = 347155200. Its totient is φ = 20155392.

The previous prime is 86430233. The next prime is 86430241. The reversal of 86430240 is 4203468.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86430241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4548951 + ... + 4548969.

It is an arithmetic number, because the mean of its divisors is an integer number (904050).

Almost surely, 2^86430240 is an apocalyptic number.

86430240 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 86430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173577600).

86430240 is an abundant number, since it is smaller than the sum of its proper divisors (260724960).

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

86430240 is a wasteful number, since it uses less digits than its factorization.

86430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86430240 is about 9296.7865415960. The cubic root of 86430240 is about 442.1353502617.

The spelling of 86430240 in words is "eighty-six million, four hundred thirty thousand, two hundred forty".