53461320 has 128 divisors (see below), whose sum is σ = 177137280. Its totient is φ = 12800000.

The previous prime is 53461313. The next prime is 53461333. The reversal of 53461320 is 2316435.

It is a happy number.

It is a super-2 number, since 2×53461320² = 5716225472284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133120 + ... + 133520.

It is an arithmetic number, because the mean of its divisors is an integer number (1383885).

Almost surely, 2^53461320 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 53461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88568640).

53461320 is an abundant number, since it is smaller than the sum of its proper divisors (123675960).

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

53461320 is a wasteful number, since it uses less digits than its factorization.

53461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53461320 is about 7311.7248307086. The cubic root of 53461320 is about 376.7152711793.

Adding to 53461320 its reverse (2316435), we get a palindrome (55777755).

It can be divided in two parts, 5346 and 1320, that added together give a palindrome (6666).

The spelling of 53461320 in words is "fifty-three million, four hundred sixty-one thousand, three hundred twenty".