55477968 has 120 divisors (see below), whose sum is σ = 177542208. Its totient is φ = 14616576.

The previous prime is 55477937. The next prime is 55477969. The reversal of 55477968 is 86977455.

It is a self number, because there is not a number n which added to its sum of digits gives 55477968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55477969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56296 + ... + 57272.

Almost surely, 2^55477968 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 55477968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88771104).

55477968 is an abundant number, since it is smaller than the sum of its proper divisors (122064240).

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

55477968 is a wasteful number, since it uses less digits than its factorization.

55477968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1002 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 55477968 is about 7448.3533750756. The cubic root of 55477968 is about 381.3937002686.

The spelling of 55477968 in words is "fifty-five million, four hundred seventy-seven thousand, nine hundred sixty-eight".