86958954 has 64 divisors (see below), whose sum is σ = 201588480. Its totient is φ = 27760320.

The previous prime is 86958941. The next prime is 86958983. The reversal of 86958954 is 45985968.

It is a happy number.

86958954 is a `hidden beast` number, since 8 + 6 + 9 + 589 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86958954.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141552 + ... + 142164.

It is an arithmetic number, because the mean of its divisors is an integer number (3149820).

Almost surely, 2^86958954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86958954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100794240).

86958954 is an abundant number, since it is smaller than the sum of its proper divisors (114629526).

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

86958954 is a wasteful number, since it uses less digits than its factorization.

86958954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 86958954 is about 9325.1784969511. The cubic root of 86958954 is about 443.0350666173.

The spelling of 86958954 in words is "eighty-six million, nine hundred fifty-eight thousand, nine hundred fifty-four".