55435968 has 112 divisors (see below), whose sum is σ = 186293760. Its totient is φ = 15835392.

The previous prime is 55435943. The next prime is 55435993. The reversal of 55435968 is 86953455.

55435968 is a `hidden beast` number, since 5 + 54 + 3 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (55435943) and next prime (55435993).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9805 + ... + 14387.

Almost surely, 2^55435968 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 55435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93146880).

55435968 is an abundant number, since it is smaller than the sum of its proper divisors (130857792).

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

55435968 is a wasteful number, since it uses less digits than its factorization.

55435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4595 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55435968 is about 7445.5334261556. The cubic root of 55435968 is about 381.2974303438.

It can be divided in two parts, 5543 and 5968, that added together give a palindrome (11511).

The spelling of 55435968 in words is "fifty-five million, four hundred thirty-five thousand, nine hundred sixty-eight".