53661216 has 96 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 14996736.

The previous prime is 53661191. The next prime is 53661227. The reversal of 53661216 is 61216635.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53661216² = 5759052205197312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30735 + ... + 32433.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^53661216 is an apocalyptic number.

53661216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

53661216 is an abundant number, since it is smaller than the sum of its proper divisors (110844384).

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

53661216 is a wasteful number, since it uses less digits than its factorization.

53661216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1758 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 53661216 is about 7325.3816282839. The cubic root of 53661216 is about 377.1842096858.

The spelling of 53661216 in words is "fifty-three million, six hundred sixty-one thousand, two hundred sixteen".