4815936 has 70 divisors (see below), whose sum is σ = 14291310. Its totient is φ = 1603584.

The previous prime is 4815931. The next prime is 4815973. The reversal of 4815936 is 6395184.

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 2073600 = 1656^2 + 1440^2 .

It is a super-4 number, since 4×4815936⁴ (a number of 28 digits) contains 4444 as substring.

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 4³ + 8⁵ + 1 + 5³ + 9⁷ + 3 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4815936.

It is not an unprimeable number, because it can be changed into a prime (4815931) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4720 + ... + 5648.

Almost surely, 2^4815936 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 4815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145655).

4815936 is an abundant number, since it is smaller than the sum of its proper divisors (9475374).

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

4815936 is an equidigital number, since it uses as much as digits as its factorization.

4815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 934 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4815936 is about 2194.5240941945. The cubic root of 4815936 is about 168.8730066115.

The spelling of 4815936 in words is "four million, eight hundred fifteen thousand, nine hundred thirty-six".