86824401 has 16 divisors (see below), whose sum is σ = 117526464. Its totient is φ = 57009344.

The previous prime is 86824399. The next prime is 86824447. The reversal of 86824401 is 10442868.

It is a cyclic number.

It is not a de Polignac number, because 86824401 - 2¹ = 86824399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86824481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62551 + ... + 63923.

It is an arithmetic number, because the mean of its divisors is an integer number (7345404).

Almost surely, 2^86824401 is an apocalyptic number.

It is an amenable number.

86824401 is a deficient number, since it is larger than the sum of its proper divisors (30702063).

86824401 is a wasteful number, since it uses less digits than its factorization.

86824401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 86824401 is about 9317.9612040403. The cubic root of 86824401 is about 442.8064435444.

The spelling of 86824401 in words is "eighty-six million, eight hundred twenty-four thousand, four hundred one".