6462864 has 60 divisors (see below), whose sum is σ = 18591196. Its totient is φ = 2094336.

The previous prime is 6462851. The next prime is 6462877. The reversal of 6462864 is 4682646.

It is a happy number.

6462864 is a `hidden beast` number, since 646 + 2 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6462851) and next prime (6462877).

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 3640464 = 1680^2 + 1908^2 .

It is a super-2 number, since 2×6462864² = 83537222164992, which contains 22 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4722 + ... + 5934.

Almost surely, 2^6462864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6462864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295598).

6462864 is an abundant number, since it is smaller than the sum of its proper divisors (12128332).

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

6462864 is a wasteful number, since it uses less digits than its factorization.

6462864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1255 counting only the distinct ones).

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

The square root of 6462864 is about 2542.2163558596. The cubic root of 6462864 is about 186.2694672083.

The spelling of 6462864 in words is "six million, four hundred sixty-two thousand, eight hundred sixty-four".