55344768 has 64 divisors (see below), whose sum is σ = 148569120. Its totient is φ = 18252800.

The previous prime is 55344767. The next prime is 55344781. The reversal of 55344768 is 86744355.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (55344763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38071 + ... + 39497.

Almost surely, 2^55344768 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 55344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74284560).

55344768 is an abundant number, since it is smaller than the sum of its proper divisors (93224352).

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

55344768 is a wasteful number, since it uses less digits than its factorization.

55344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1533 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 55344768 is about 7439.4064279350. The cubic root of 55344768 is about 381.0882195257.

The spelling of 55344768 in words is "fifty-five million, three hundred forty-four thousand, seven hundred sixty-eight".