55290600 has 120 divisors (see below), whose sum is σ = 192088710. Its totient is φ = 14739840.

The previous prime is 55290581. The next prime is 55290619. The reversal of 55290600 is 609255.

55290600 is a `hidden beast` number, since 5 + 52 + 9 + 0 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (55290581) and next prime (55290619).

It can be written as a sum of positive squares in 3 ways, for example, as 51581124 + 3709476 = 7182^2 + 1926^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14494 + ... + 17906.

Almost surely, 2^55290600 is an apocalyptic number.

55290600 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 55290600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96044355).

55290600 is an abundant number, since it is smaller than the sum of its proper divisors (136798110).

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

55290600 is a wasteful number, since it uses less digits than its factorization.

55290600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3423 counting only the distinct ones).

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

The square root of 55290600 is about 7435.7649236645. The cubic root of 55290600 is about 380.9638504979.

Adding to 55290600 its reverse (609255), we get a palindrome (55899855).

The spelling of 55290600 in words is "fifty-five million, two hundred ninety thousand, six hundred".