53779536 has 60 divisors (see below), whose sum is σ = 154195860. Its totient is φ = 17487360.

The previous prime is 53779507. The next prime is 53779549. The reversal of 53779536 is 63597735.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 49617936 = 2040^2 + 7044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53779491 and 53779500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1350 + ... + 10458.

It is an arithmetic number, because the mean of its divisors is an integer number (2569931).

Almost surely, 2^53779536 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 53779536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77097930).

53779536 is an abundant number, since it is smaller than the sum of its proper divisors (100416324).

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

53779536 is a wasteful number, since it uses less digits than its factorization.

53779536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9155 counting only the distinct ones).

The product of its digits is 595350, while the sum is 45.

The square root of 53779536 is about 7333.4532111414. The cubic root of 53779536 is about 377.4612295899.

The spelling of 53779536 in words is "fifty-three million, seven hundred seventy-nine thousand, five hundred thirty-six".