55626000 has 160 divisors (see below), whose sum is σ = 183226368. Its totient is φ = 14515200.

The previous prime is 55625987. The next prime is 55626007. The reversal of 55626000 is 62655.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55626007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437937 + ... + 438063.

Almost surely, 2^55626000 is an apocalyptic number.

55626000 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 55626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91613184).

55626000 is an abundant number, since it is smaller than the sum of its proper divisors (127600368).

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

55626000 is a wasteful number, since it uses less digits than its factorization.

55626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 55626000 is about 7458.2839849392. The cubic root of 55626000 is about 381.7326235835.

Adding to 55626000 its reverse (62655), we get a palindrome (55688655).

The spelling of 55626000 in words is "fifty-five million, six hundred twenty-six thousand".