86679450 has 192 divisors, whose sum is σ = 281232000. Its totient is φ = 19353600.

The previous prime is 86679407. The next prime is 86679451. The reversal of 86679450 is 5497668.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86679396 and 86679405.

It is not an unprimeable number, because it can be changed into a prime (86679451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192826 + ... + 193274.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^86679450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86679450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

86679450 is an abundant number, since it is smaller than the sum of its proper divisors (194552550).

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

86679450 is a wasteful number, since it uses less digits than its factorization.

86679450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 86679450 is about 9310.1799123325. The cubic root of 86679450 is about 442.5598884757.

The spelling of 86679450 in words is "eighty-six million, six hundred seventy-nine thousand, four hundred fifty".