53798688 has 96 divisors (see below), whose sum is σ = 159304320. Its totient is φ = 17660160.

The previous prime is 53798681. The next prime is 53798707. The reversal of 53798688 is 88689735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53798681) 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, 60906 + ... + 61782.

It is an arithmetic number, because the mean of its divisors is an integer number (1659420).

Almost surely, 2^53798688 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 53798688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79652160).

53798688 is an abundant number, since it is smaller than the sum of its proper divisors (105505632).

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

53798688 is a wasteful number, since it uses less digits than its factorization.

53798688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 953 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 53798688 is about 7334.7588917428. The cubic root of 53798688 is about 377.5060315104.

It can be divided in two parts, 537 and 98688, that added together give a square (99225 = 315²).

The spelling of 53798688 in words is "fifty-three million, seven hundred ninety-eight thousand, six hundred eighty-eight".