86958000 has 120 divisors (see below), whose sum is σ = 303778176. Its totient is φ = 23184000.

The previous prime is 86957977. The next prime is 86958013. The reversal of 86958000 is 85968.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15585 + ... + 20415.

Almost surely, 2^86958000 is an apocalyptic number.

86958000 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 86958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151889088).

86958000 is an abundant number, since it is smaller than the sum of its proper divisors (216820176).

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

86958000 is a wasteful number, since it uses less digits than its factorization.

86958000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 86958000 is about 9325.1273449750. The cubic root of 86958000 is about 443.0334464774.

The spelling of 86958000 in words is "eighty-six million, nine hundred fifty-eight thousand".