55406600 has 48 divisors (see below), whose sum is σ = 129316500. Its totient is φ = 22077440.

The previous prime is 55406599. The next prime is 55406639. The reversal of 55406600 is 660455.

It can be written as a sum of positive squares in 6 ways, for example, as 8099716 + 47306884 = 2846^2 + 6878^2 .

It is a super-4 number, since 4×55406600⁴ (a number of 32 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55406600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89492 + ... + 90108.

Almost surely, 2^55406600 is an apocalyptic number.

55406600 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 55406600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64658250).

55406600 is an abundant number, since it is smaller than the sum of its proper divisors (73909900).

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

55406600 is a wasteful number, since it uses less digits than its factorization.

55406600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 55406600 is about 7443.5609757696. The cubic root of 55406600 is about 381.2300858540.

The spelling of 55406600 in words is "fifty-five million, four hundred six thousand, six hundred".