6862401 has 80 divisors (see below), whose sum is σ = 13552000. Its totient is φ = 3429216.

The previous prime is 6862397. The next prime is 6862403. The reversal of 6862401 is 1042686.

It is not a de Polignac number, because 6862401 - 2² = 6862397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

6862401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6862403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 361170 + ... + 361188.

It is an arithmetic number, because the mean of its divisors is an integer number (169400).

Almost surely, 2^6862401 is an apocalyptic number.

It is an amenable number.

6862401 is a deficient number, since it is larger than the sum of its proper divisors (6689599).

6862401 is a wasteful number, since it uses less digits than its factorization.

6862401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6862401 is about 2619.6184836728. The cubic root of 6862401 is about 190.0313983198.

The spelling of 6862401 in words is "six million, eight hundred sixty-two thousand, four hundred one".