86040240 has 320 divisors, whose sum is σ = 329978880. Its totient is φ = 18247680.

The previous prime is 86040223. The next prime is 86040271. The reversal of 86040240 is 4204068.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 86040240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789306 + ... + 789414.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^86040240 is an apocalyptic number.

86040240 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 86040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

86040240 is an abundant number, since it is smaller than the sum of its proper divisors (243938640).

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

86040240 is a wasteful number, since it uses less digits than its factorization.

86040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 86040240 is about 9275.7878371597. The cubic root of 86040240 is about 441.4693302999.

The spelling of 86040240 in words is "eighty-six million, forty thousand, two hundred forty".