86959440 has 160 divisors (see below), whose sum is σ = 302837760. Its totient is φ = 22934016.

The previous prime is 86959423. The next prime is 86959463. The reversal of 86959440 is 4495968.

It is a happy number.

It is a super-2 number, since 2×86959440² = 15123888410227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274162 + ... + 274478.

It is an arithmetic number, because the mean of its divisors is an integer number (1892736).

Almost surely, 2^86959440 is an apocalyptic number.

86959440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86959440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151418880).

86959440 is an abundant number, since it is smaller than the sum of its proper divisors (215878320).

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

86959440 is a wasteful number, since it uses less digits than its factorization.

86959440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 86959440 is about 9325.2045553972. The cubic root of 86959440 is about 443.0358919670.

The spelling of 86959440 in words is "eighty-six million, nine hundred fifty-nine thousand, four hundred forty".