86950500 has 288 divisors, whose sum is σ = 319737600. Its totient is φ = 18345600.

The previous prime is 86950471. The next prime is 86950541. The reversal of 86950500 is 505968.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6688494 + ... + 6688506.

It is an arithmetic number, because the mean of its divisors is an integer number (1110200).

Almost surely, 2^86950500 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 86950500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868800).

86950500 is an abundant number, since it is smaller than the sum of its proper divisors (232787100).

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

86950500 is a wasteful number, since it uses less digits than its factorization.

86950500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 86950500 is about 9324.7251970232. The cubic root of 86950500 is about 443.0207091162.

The spelling of 86950500 in words is "eighty-six million, nine hundred fifty thousand, five hundred".