86284440 has 224 divisors, whose sum is σ = 318718800. Its totient is φ = 20839680.

The previous prime is 86284423. The next prime is 86284493. The reversal of 86284440 is 4448268.

It is a super-2 number, since 2×86284440² = 14890009172227200, which contains 22 as substring.

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 = 86284395 and 86284404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 320626 + ... + 320894.

Almost surely, 2^86284440 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 86284440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159359400).

86284440 is an abundant number, since it is smaller than the sum of its proper divisors (232434360).

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

86284440 is a wasteful number, since it uses less digits than its factorization.

86284440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 86284440 is about 9288.9418127147. The cubic root of 86284440 is about 441.8865962145.

The spelling of 86284440 in words is "eighty-six million, two hundred eighty-four thousand, four hundred forty".