86588946 has 64 divisors (see below), whose sum is σ = 198950400. Its totient is φ = 27900288.

The previous prime is 86588941. The next prime is 86588959. The reversal of 86588946 is 64988568.

It is a happy number.

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

Its product of digits (3317760) is a multiple of the sum of its prime factors (480).

It is a junction number, because it is equal to n+sod(n) for n = 86588892 and 86588901.

It is not an unprimeable number, because it can be changed into a prime (86588941) 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, 276486 + ... + 276798.

It is an arithmetic number, because the mean of its divisors is an integer number (3108600).

Almost surely, 2^86588946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86588946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99475200).

86588946 is an abundant number, since it is smaller than the sum of its proper divisors (112361454).

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

86588946 is a wasteful number, since it uses less digits than its factorization.

86588946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 86588946 is about 9305.3181568391. The cubic root of 86588946 is about 442.4058058626.

The spelling of 86588946 in words is "eighty-six million, five hundred eighty-eight thousand, nine hundred forty-six".