86043600 has 240 divisors, whose sum is σ = 317360640. Its totient is φ = 22118400.

The previous prime is 86043589. The next prime is 86043623. The reversal of 86043600 is 634068.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×86043600² = 14807002201920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334672 + ... + 334928.

It is an arithmetic number, because the mean of its divisors is an integer number (1322336).

Almost surely, 2^86043600 is an apocalyptic number.

86043600 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 86043600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158680320).

86043600 is an abundant number, since it is smaller than the sum of its proper divisors (231317040).

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

86043600 is a wasteful number, since it uses less digits than its factorization.

86043600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 86043600 is about 9275.9689520826. The cubic root of 86043600 is about 441.4750769042.

Adding to 86043600 its reverse (634068), we get a palindrome (86677668).

The spelling of 86043600 in words is "eighty-six million, forty-three thousand, six hundred".