5867406801 has 21 divisors (see below), whose sum is σ = 8800187851. Its totient is φ = 3910225752.

The previous prime is 5867406751. The next prime is 5867406833. The reversal of 5867406801 is 1086047685.

It is a happy number.

The square root of 5867406801 is 76599.

It is a perfect power (a square), and thus also a powerful number.

5867406801 is a `hidden beast` number, since 586 + 7 + 4 + 0 + 68 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200930625 + 5666476176 = 14175^2 + 75276^2 .

It is not a de Polignac number, because 5867406801 - 2¹³ = 5867398609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5867406841) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2066755 + ... + 2069591.

Almost surely, 2^5867406801 is an apocalyptic number.

5867406801 is the 76599-th square number.

5867406801 is the 38300-th centered octagonal number.

It is an amenable number.

5867406801 is a deficient number, since it is larger than the sum of its proper divisors (2932781050).

5867406801 is an frugal number, since it uses more digits than its factorization.

5867406801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The cubic root of 5867406801 is about 1803.6353280517.

The spelling of 5867406801 in words is "five billion, eight hundred sixty-seven million, four hundred six thousand, eight hundred one".