53353760 has 48 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 21179136.

The previous prime is 53353757. The next prime is 53353763. The reversal of 53353760 is 6735335.

It is an interprime number because it is at equal distance from previous prime (53353757) and next prime (53353763).

It is a super-2 number, since 2×53353760² = 5693247412275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (53353763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21041 + ... + 23439.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^53353760 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 53353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

53353760 is an abundant number, since it is smaller than the sum of its proper divisors (73654240).

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

53353760 is a wasteful number, since it uses less digits than its factorization.

53353760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 32.

The square root of 53353760 is about 7304.3658177832. The cubic root of 53353760 is about 376.4624609918.

The spelling of 53353760 in words is "fifty-three million, three hundred fifty-three thousand, seven hundred sixty".