6362964 has 72 divisors (see below), whose sum is σ = 17552808. Its totient is φ = 1935360.

The previous prime is 6362957. The next prime is 6362999. The reversal of 6362964 is 4692636.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 2722500 = 1908^2 + 1650^2 .

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 Ulam number.

It is a d-powerful number, because it can be written as 6⁵ + 3¹³ + 6⁷ + 2⁷ + 9⁴ + 6⁷ + 4¹¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22504 + ... + 22784.

It is an arithmetic number, because the mean of its divisors is an integer number (243789).

Almost surely, 2^6362964 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 6362964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776404).

6362964 is an abundant number, since it is smaller than the sum of its proper divisors (11189844).

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

6362964 is a wasteful number, since it uses less digits than its factorization.

6362964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 6362964 is about 2522.4916253578. The cubic root of 6362964 is about 185.3047230247.

It can be divided in two parts, 636 and 2964, that added together give a square (3600 = 60²).

The spelling of 6362964 in words is "six million, three hundred sixty-two thousand, nine hundred sixty-four".