55920600 has 144 divisors (see below), whose sum is σ = 192085920. Its totient is φ = 14572800.

The previous prime is 55920589. The next prime is 55920607. The reversal of 55920600 is 602955.

55920600 is a `hidden beast` number, since 5 + 59 + 2 + 0 + 600 = 666.

55920600 is a nontrivial binomial coefficient, being equal to C(10576, 2).

It is a super-2 number, since 2×55920600² = 6254227008720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55920607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84270 + ... + 84930.

It is an arithmetic number, because the mean of its divisors is an integer number (1333930).

Almost surely, 2^55920600 is an apocalyptic number.

55920600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55920600 is the 10575-th triangular number and also the 5288-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55920600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96042960).

55920600 is an abundant number, since it is smaller than the sum of its proper divisors (136165320).

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

55920600 is a wasteful number, since it uses less digits than its factorization.

55920600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55920600 is about 7478.0077560805. The cubic root of 55920600 is about 382.4053334865.

The spelling of 55920600 in words is "fifty-five million, nine hundred twenty thousand, six hundred".