53779140 has 120 divisors (see below), whose sum is σ = 171060120. Its totient is φ = 14141952.

The previous prime is 53779127. The next prime is 53779151. The reversal of 53779140 is 4197735.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 52099524 = 1296^2 + 7218^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53779095 and 53779104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143994 + ... + 144366.

It is an arithmetic number, because the mean of its divisors is an integer number (1425501).

Almost surely, 2^53779140 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 53779140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85530060).

53779140 is an abundant number, since it is smaller than the sum of its proper divisors (117280980).

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

53779140 is a wasteful number, since it uses less digits than its factorization.

53779140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 53779140 is about 7333.4262115331. The cubic root of 53779140 is about 377.4603031222.

The spelling of 53779140 in words is "fifty-three million, seven hundred seventy-nine thousand, one hundred forty".