53961216 has 120 divisors (see below), whose sum is σ = 154923120. Its totient is φ = 16644096.

The previous prime is 53961211. The next prime is 53961233. The reversal of 53961216 is 61216935.

It is a happy number.

53961216 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (53961211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254891 + ... + 1254933.

It is an arithmetic number, because the mean of its divisors is an integer number (1291026).

Almost surely, 2^53961216 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 53961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77461560).

53961216 is an abundant number, since it is smaller than the sum of its proper divisors (100961904).

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

53961216 is an equidigital number, since it uses as much as digits as its factorization.

53961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 67 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 53961216 is about 7345.8298373975. The cubic root of 53961216 is about 377.8858029661.

The spelling of 53961216 in words is "fifty-three million, nine hundred sixty-one thousand, two hundred sixteen".