86986440 has 128 divisors (see below), whose sum is σ = 292032000. Its totient is φ = 23030784.

The previous prime is 86986439. The next prime is 86986441. The reversal of 86986440 is 4468968.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86986439) and next prime (86986441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86986441) 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, 257952 + ... + 258288.

It is an arithmetic number, because the mean of its divisors is an integer number (2281500).

Almost surely, 2^86986440 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 86986440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016000).

86986440 is an abundant number, since it is smaller than the sum of its proper divisors (205045560).

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

86986440 is a wasteful number, since it uses less digits than its factorization.

86986440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86986440 is about 9326.6521324643. The cubic root of 86986440 is about 443.0817398982.

The spelling of 86986440 in words is "eighty-six million, nine hundred eighty-six thousand, four hundred forty".