6862464 has 192 divisors, whose sum is σ = 24186240. Its totient is φ = 1824768.

The previous prime is 6862451. The next prime is 6862469. The reversal of 6862464 is 4642686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (55296) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6862469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185454 + ... + 185490.

It is an arithmetic number, because the mean of its divisors is an integer number (125970).

Almost surely, 2^6862464 is an apocalyptic number.

6862464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12093120).

6862464 is an abundant number, since it is smaller than the sum of its proper divisors (17323776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6862464 is a wasteful number, since it uses less digits than its factorization.

6862464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6862464 is about 2619.6305082969. The cubic root of 6862464 is about 190.0319798432.

The spelling of 6862464 in words is "six million, eight hundred sixty-two thousand, four hundred sixty-four".