86906700 has 108 divisors (see below), whose sum is σ = 277044768. Its totient is φ = 22780800.

The previous prime is 86906657. The next prime is 86906731. The reversal of 86906700 is 760968.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54109 + ... + 55691.

Almost surely, 2^86906700 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 86906700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

86906700 is an abundant number, since it is smaller than the sum of its proper divisors (190138068).

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

86906700 is a wasteful number, since it uses less digits than its factorization.

86906700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86906700 is about 9322.3763065004. The cubic root of 86906700 is about 442.9463082936.

The spelling of 86906700 in words is "eighty-six million, nine hundred six thousand, seven hundred".