55577652 has 48 divisors (see below), whose sum is σ = 141261120. Its totient is φ = 16904448.

The previous prime is 55577651. The next prime is 55577657. The reversal of 55577652 is 25677555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55577651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11883 + ... + 15885.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^55577652 is an apocalyptic number.

55577652 is a gapful number since it is divisible by the number (52) 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 55577652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70630560).

55577652 is an abundant number, since it is smaller than the sum of its proper divisors (85683468).

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

55577652 is a wasteful number, since it uses less digits than its factorization.

55577652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4110 counting only the distinct ones).

The product of its digits is 367500, while the sum is 42.

The square root of 55577652 is about 7455.0420521953. The cubic root of 55577652 is about 381.6219957083.

The spelling of 55577652 in words is "fifty-five million, five hundred seventy-seven thousand, six hundred fifty-two".