53418820 has 96 divisors (see below), whose sum is σ = 141120000. Its totient is φ = 16877952.

The previous prime is 53418809. The next prime is 53418821. The reversal of 53418820 is 2881435.

53418820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53418821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88881 + ... + 89479.

It is an arithmetic number, because the mean of its divisors is an integer number (1470000).

Almost surely, 2^53418820 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 53418820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560000).

53418820 is an abundant number, since it is smaller than the sum of its proper divisors (87701180).

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

53418820 is a wasteful number, since it uses less digits than its factorization.

53418820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 53418820 is about 7308.8179618869. The cubic root of 53418820 is about 376.6154192772.

It can be divided in two parts, 5341 and 8820, that added together give a square (14161 = 119²).

The spelling of 53418820 in words is "fifty-three million, four hundred eighteen thousand, eight hundred twenty".