86242900 has 54 divisors (see below), whose sum is σ = 197598030. Its totient is φ = 32667840.

The previous prime is 86242889. The next prime is 86242901. The reversal of 86242900 is 924268.

It can be written as a sum of positive squares in 3 ways, for example, as 976144 + 85266756 = 988^2 + 9234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86242901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34906 + ... + 37294.

Almost surely, 2^86242900 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 86242900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98799015).

86242900 is an abundant number, since it is smaller than the sum of its proper divisors (111355130).

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

86242900 is a wasteful number, since it uses less digits than its factorization.

86242900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 86242900 is about 9286.7055514860. The cubic root of 86242900 is about 441.8156722035.

The spelling of 86242900 in words is "eighty-six million, two hundred forty-two thousand, nine hundred".