4364964 has 72 divisors (see below), whose sum is σ = 11826360. Its totient is φ = 1354752.

The previous prime is 4364959. The next prime is 4364989. The reversal of 4364964 is 4694634.

4364964 is a `hidden beast` number, since 4 + 3 + 649 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396900 + 3968064 = 630^2 + 1992^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 38572 + ... + 38684.

It is an arithmetic number, because the mean of its divisors is an integer number (164255).

Almost surely, 2^4364964 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 4364964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913180).

4364964 is an abundant number, since it is smaller than the sum of its proper divisors (7461396).

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

4364964 is a wasteful number, since it uses less digits than its factorization.

4364964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4364964 is about 2089.2496260620. The cubic root of 4364964 is about 163.4281591068.

The spelling of 4364964 in words is "four million, three hundred sixty-four thousand, nine hundred sixty-four".