53661248 has 112 divisors (see below), whose sum is σ = 122310144. Its totient is φ = 23224320.

The previous prime is 53661239. The next prime is 53661269. The reversal of 53661248 is 84216635.

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, 1247915 + ... + 1247957.

Almost surely, 2^53661248 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 53661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61155072).

53661248 is an abundant number, since it is smaller than the sum of its proper divisors (68648896).

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

53661248 is a wasteful number, since it uses less digits than its factorization.

53661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 53661248 is about 7325.3838124702. The cubic root of 53661248 is about 377.1842846617.

The spelling of 53661248 in words is "fifty-three million, six hundred sixty-one thousand, two hundred forty-eight".