4953564 has 72 divisors (see below), whose sum is σ = 15619968. Its totient is φ = 1285920.

The previous prime is 4953551. The next prime is 4953569. The reversal of 4953564 is 4653594.

It is a happy number.

4953564 is a `hidden beast` number, since 4 + 95 + 3 + 564 = 666.

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

It is a d-powerful number, because it can be written as 4 + 9⁴ + 5⁷ + 3¹⁴ + 5⁷ + 6⁵ + 4 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4953569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1879 + ... + 3665.

It is an arithmetic number, because the mean of its divisors is an integer number (216944).

Almost surely, 2^4953564 is an apocalyptic number.

4953564 is a gapful number since it is divisible by the number (44) 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 4953564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809984).

4953564 is an abundant number, since it is smaller than the sum of its proper divisors (10666404).

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

4953564 is a wasteful number, since it uses less digits than its factorization.

4953564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1810 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 4953564 is about 2225.6603514463. The cubic root of 4953564 is about 170.4665844394.

The spelling of 4953564 in words is "four million, nine hundred fifty-three thousand, five hundred sixty-four".