55577568 has 48 divisors (see below), whose sum is σ = 152240256. Its totient is φ = 17719680.

The previous prime is 55577567. The next prime is 55577569. The reversal of 55577568 is 86577555.

It is an interprime number because it is at equal distance from previous prime (55577567) and next prime (55577569).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×55577568⁴ (a number of 32 digits) contains 4444 as substring.

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 (55577567) 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, 10378 + ... + 14793.

It is an arithmetic number, because the mean of its divisors is an integer number (3171672).

Almost surely, 2^55577568 is an apocalyptic number.

It is an amenable number.

55577568 is an abundant number, since it is smaller than the sum of its proper divisors (96662688).

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

55577568 is a wasteful number, since it uses less digits than its factorization.

55577568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25207 (or 25199 counting only the distinct ones).

The product of its digits is 1470000, while the sum is 48.

The square root of 55577568 is about 7455.0364184221. The cubic root of 55577568 is about 381.6218034472.

The spelling of 55577568 in words is "fifty-five million, five hundred seventy-seven thousand, five hundred sixty-eight".