55677600 has 432 divisors, whose sum is σ = 231547680. Its totient is φ = 12441600.

The previous prime is 55677571. The next prime is 55677617. The reversal of 55677600 is 677655.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1504782 + ... + 1504818.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 2^55677600 is an apocalyptic number.

55677600 is a gapful number since it is divisible by the number (50) 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 55677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

55677600 is an abundant number, since it is smaller than the sum of its proper divisors (175870080).

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

55677600 is a wasteful number, since it uses less digits than its factorization.

55677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 55677600 is about 7461.7424238578. The cubic root of 55677600 is about 381.8506218572.

Subtracting from 55677600 its reverse (677655), we obtain a palindrome (54999945).

The spelling of 55677600 in words is "fifty-five million, six hundred seventy-seven thousand, six hundred".