55358688 has 96 divisors (see below), whose sum is σ = 181198080. Its totient is φ = 14376960.

The previous prime is 55358687. The next prime is 55358707. The reversal of 55358688 is 88685355.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55358687) 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, 3648 + ... + 11136.

It is an arithmetic number, because the mean of its divisors is an integer number (1887480).

Almost surely, 2^55358688 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 55358688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90599040).

55358688 is an abundant number, since it is smaller than the sum of its proper divisors (125839392).

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

55358688 is a wasteful number, since it uses less digits than its factorization.

55358688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7512 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 48.

The square root of 55358688 is about 7440.3419276267. The cubic root of 55358688 is about 381.1201665584.

The spelling of 55358688 in words is "fifty-five million, three hundred fifty-eight thousand, six hundred eighty-eight".