86959548 has 96 divisors (see below), whose sum is σ = 244749120. Its totient is φ = 26542080.

The previous prime is 86959547. The next prime is 86959553. The reversal of 86959548 is 84595968.

It is a happy number.

86959548 is a `hidden beast` number, since 8 + 6 + 9 + 595 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86959494 and 86959503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86959547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338236 + ... + 338492.

It is an arithmetic number, because the mean of its divisors is an integer number (2549470).

Almost surely, 2^86959548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86959548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122374560).

86959548 is an abundant number, since it is smaller than the sum of its proper divisors (157789572).

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

86959548 is a wasteful number, since it uses less digits than its factorization.

86959548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

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

The square root of 86959548 is about 9325.2103461531. The cubic root of 86959548 is about 443.0360753776.

The spelling of 86959548 in words is "eighty-six million, nine hundred fifty-nine thousand, five hundred forty-eight".