86786700 has 432 divisors, whose sum is σ = 358143744. Its totient is φ = 15667200.

The previous prime is 86786681. The next prime is 86786743. The reversal of 86786700 is 768768.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5105092 + ... + 5105108.

Almost surely, 2^86786700 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 86786700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179071872).

86786700 is an abundant number, since it is smaller than the sum of its proper divisors (271357044).

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

86786700 is a wasteful number, since it uses less digits than its factorization.

86786700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 86786700 is about 9315.9379559978. The cubic root of 86786700 is about 442.7423422762.

Multiplying 86786700 by its reverse (768768), we get a square (66718837785600 = 8168160²).

It can be divided in two parts, 867 and 86700, that multiplied together give a square (75168900 = 8670²).

The spelling of 86786700 in words is "eighty-six million, seven hundred eighty-six thousand, seven hundred".