86852700 has 216 divisors, whose sum is σ = 307646976. Its totient is φ = 20304000.

The previous prime is 86852687. The next prime is 86852707. The reversal of 86852700 is 725868.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86852707) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306759 + ... + 307041.

Almost surely, 2^86852700 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 86852700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153823488).

86852700 is an abundant number, since it is smaller than the sum of its proper divisors (220794276).

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

86852700 is a wasteful number, since it uses less digits than its factorization.

86852700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 86852700 is about 9319.4795992051. The cubic root of 86852700 is about 442.8545468358.

The spelling of 86852700 in words is "eighty-six million, eight hundred fifty-two thousand, seven hundred".