86746248 has 128 divisors (see below), whose sum is σ = 264960000. Its totient is φ = 26174016.

The previous prime is 86746237. The next prime is 86746249. The reversal of 86746248 is 84264768.

It is not an unprimeable number, because it can be changed into a prime (86746249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93933 + ... + 94851.

It is an arithmetic number, because the mean of its divisors is an integer number (2070000).

Almost surely, 2^86746248 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 86746248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132480000).

86746248 is an abundant number, since it is smaller than the sum of its proper divisors (178213752).

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

86746248 is a wasteful number, since it uses less digits than its factorization.

86746248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 966 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 86746248 is about 9313.7665850074. The cubic root of 86746248 is about 442.6735429610.

The spelling of 86746248 in words is "eighty-six million, seven hundred forty-six thousand, two hundred forty-eight".