86361600 has 240 divisors, whose sum is σ = 309011472. Its totient is φ = 21135360.

The previous prime is 86361571. The next prime is 86361617. The reversal of 86361600 is 616368.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499114 + ... + 499286.

Almost surely, 2^86361600 is an apocalyptic number.

86361600 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 86361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154505736).

86361600 is an abundant number, since it is smaller than the sum of its proper divisors (222649872).

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

86361600 is a wasteful number, since it uses less digits than its factorization.

86361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 86361600 is about 9293.0942102187. The cubic root of 86361600 is about 442.0182762383.

Adding to 86361600 its reverse (616368), we get a palindrome (86977968).

The spelling of 86361600 in words is "eighty-six million, three hundred sixty-one thousand, six hundred".