85816401 has 32 divisors (see below), whose sum is σ = 129945600. Its totient is φ = 49905600.

The previous prime is 85816399. The next prime is 85816411. The reversal of 85816401 is 10461858.

It is not a de Polignac number, because 85816401 - 2¹ = 85816399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (85816411) by changing a digit.

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, 152146 + ... + 152708.

It is an arithmetic number, because the mean of its divisors is an integer number (4060800).

Almost surely, 2^85816401 is an apocalyptic number.

It is an amenable number.

85816401 is a deficient number, since it is larger than the sum of its proper divisors (44129199).

85816401 is a wasteful number, since it uses less digits than its factorization.

85816401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 85816401 is about 9263.7142119131. The cubic root of 85816401 is about 441.0861612492.

The spelling of 85816401 in words is "eighty-five million, eight hundred sixteen thousand, four hundred one".