86256401 has 16 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 66930000.

The previous prime is 86256349. The next prime is 86256413. The reversal of 86256401 is 10465268.

It is a cyclic number.

It is not a de Polignac number, because 86256401 - 2¹⁸ = 85994257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86256431) 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, 17096 + ... + 21558.

It is an arithmetic number, because the mean of its divisors is an integer number (6749568).

Almost surely, 2^86256401 is an apocalyptic number.

It is an amenable number.

86256401 is a deficient number, since it is larger than the sum of its proper divisors (21736687).

86256401 is a wasteful number, since it uses less digits than its factorization.

86256401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 86256401 is about 9287.4324223652. The cubic root of 86256401 is about 441.8387258584.

The spelling of 86256401 in words is "eighty-six million, two hundred fifty-six thousand, four hundred one".