53658880 has 144 divisors (see below), whose sum is σ = 145401984. Its totient is φ = 18800640.

The previous prime is 53658877. The next prime is 53658881. The reversal of 53658880 is 8885635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53658881) 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, 520909 + ... + 521011.

It is an arithmetic number, because the mean of its divisors is an integer number (1009736).

Almost surely, 2^53658880 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 53658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72700992).

53658880 is an abundant number, since it is smaller than the sum of its proper divisors (91743104).

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

53658880 is a wasteful number, since it uses less digits than its factorization.

53658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 53658880 is about 7325.2221809308. Note that the first 3 decimals coincide. The cubic root of 53658880 is about 377.1787363653.

The spelling of 53658880 in words is "fifty-three million, six hundred fifty-eight thousand, eight hundred eighty".