53568768 has 144 divisors (see below), whose sum is σ = 165122496. Its totient is φ = 15237120.

The previous prime is 53568721. The next prime is 53568769. The reversal of 53568768 is 86786535.

It is a super-2 number, since 2×53568768² = 5739225810075648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1209600) is a multiple of the sum of its prime factors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53568769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143430 + ... + 143802.

It is an arithmetic number, because the mean of its divisors is an integer number (1146684).

Almost surely, 2^53568768 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 53568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82561248).

53568768 is an abundant number, since it is smaller than the sum of its proper divisors (111553728).

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

53568768 is a wasteful number, since it uses less digits than its factorization.

53568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 53568768 is about 7319.0687932277. The cubic root of 53568768 is about 376.9674797870.

The spelling of 53568768 in words is "fifty-three million, five hundred sixty-eight thousand, seven hundred sixty-eight".