86956415 has 48 divisors (see below), whose sum is σ = 131795136. Its totient is φ = 53913600.

The previous prime is 86956403. The next prime is 86956423. The reversal of 86956415 is 51465968.

It is not a de Polignac number, because 86956415 - 2⁶ = 86956351 is a prime.

It is a super-3 number, since 3×86956415³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360695 + ... + 360935.

It is an arithmetic number, because the mean of its divisors is an integer number (2745732).

Almost surely, 2^86956415 is an apocalyptic number.

86956415 is a deficient number, since it is larger than the sum of its proper divisors (44838721).

86956415 is a wasteful number, since it uses less digits than its factorization.

86956415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The square root of 86956415 is about 9325.0423591531. The cubic root of 86956415 is about 443.0307547095.

The spelling of 86956415 in words is "eighty-six million, nine hundred fifty-six thousand, four hundred fifteen".