86679600 has 240 divisors, whose sum is σ = 336549888. Its totient is φ = 18616320.

The previous prime is 86679599. The next prime is 86679611. The reversal of 86679600 is 697668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 142497 + ... + 143103.

Almost surely, 2^86679600 is an apocalyptic number.

86679600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86679600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168274944).

86679600 is an abundant number, since it is smaller than the sum of its proper divisors (249870288).

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

86679600 is a wasteful number, since it uses less digits than its factorization.

86679600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 86679600 is about 9310.1879680273. The cubic root of 86679600 is about 442.5601437609.

The spelling of 86679600 in words is "eighty-six million, six hundred seventy-nine thousand, six hundred".