53618880 has 224 divisors, whose sum is σ = 198973440. Its totient is φ = 11980800.

The previous prime is 53618861. The next prime is 53618899. The reversal of 53618880 is 8881635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53618861) and next prime (53618899).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×53618880³ (a number of 24 digits) contains 333 as substring.

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, 530830 + ... + 530930.

Almost surely, 2^53618880 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 53618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486720).

53618880 is an abundant number, since it is smaller than the sum of its proper divisors (145354560).

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

53618880 is a wasteful number, since it uses less digits than its factorization.

53618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 53618880 is about 7322.4913793053. The cubic root of 53618880 is about 377.0849904658.

It can be divided in two parts, 5361 and 8880, that added together give a palindrome (14241).

The spelling of 53618880 in words is "fifty-three million, six hundred eighteen thousand, eight hundred eighty".