53661140 has 48 divisors (see below), whose sum is σ = 122160528. Its totient is φ = 19682304.

The previous prime is 53661133. The next prime is 53661143. The reversal of 53661140 is 4116635.

It can be written as a sum of positive squares in 8 ways, for example, as 20164 + 53640976 = 142^2 + 7324^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53661143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44384 + ... + 45576.

It is an arithmetic number, because the mean of its divisors is an integer number (2545011).

Almost surely, 2^53661140 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 53661140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61080264).

53661140 is an abundant number, since it is smaller than the sum of its proper divisors (68499388).

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

53661140 is a wasteful number, since it uses less digits than its factorization.

53661140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 53661140 is about 7325.3764408391. The cubic root of 53661140 is about 377.1840316179.

Adding to 53661140 its reverse (4116635), we get a palindrome (57777775).

The spelling of 53661140 in words is "fifty-three million, six hundred sixty-one thousand, one hundred forty".