86958366 has 96 divisors (see below), whose sum is σ = 207954432. Its totient is φ = 24023040.

The previous prime is 86958323. The next prime is 86958371. The reversal of 86958366 is 66385968.

86958366 = 124² + 125² + ... + 640².

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 896430 + ... + 896526.

It is an arithmetic number, because the mean of its divisors is an integer number (2166192).

Almost surely, 2^86958366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86958366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103977216).

86958366 is an abundant number, since it is smaller than the sum of its proper divisors (120996066).

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

86958366 is a wasteful number, since it uses less digits than its factorization.

86958366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 86958366 is about 9325.1469693512. The cubic root of 86958366 is about 443.0340680419.

The spelling of 86958366 in words is "eighty-six million, nine hundred fifty-eight thousand, three hundred sixty-six".