53035668 has 144 divisors (see below), whose sum is σ = 164599680. Its totient is φ = 14463360.

The previous prime is 53035667. The next prime is 53035679. The reversal of 53035668 is 86653035.

It is a super-3 number, since 3×53035668³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53035667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726480 + ... + 726552.

Almost surely, 2^53035668 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 53035668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82299840).

53035668 is an abundant number, since it is smaller than the sum of its proper divisors (111564012).

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

53035668 is a wasteful number, since it uses less digits than its factorization.

53035668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 53035668 is about 7282.5591655681. The cubic root of 53035668 is about 375.7128201745.

The spelling of 53035668 in words is "fifty-three million, thirty-five thousand, six hundred sixty-eight".