55577664 has 140 divisors (see below), whose sum is σ = 168176448. Its totient is φ = 18144000.

The previous prime is 55577657. The next prime is 55577689. The reversal of 55577664 is 46677555.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 367989 + ... + 368139.

Almost surely, 2^55577664 is an apocalyptic number.

55577664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088224).

55577664 is an abundant number, since it is smaller than the sum of its proper divisors (112598784).

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

55577664 is a wasteful number, since it uses less digits than its factorization.

55577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 55577664 is about 7455.0428570197. The cubic root of 55577664 is about 381.6220231742.

The spelling of 55577664 in words is "fifty-five million, five hundred seventy-seven thousand, six hundred sixty-four".