55364000 has 48 divisors (see below), whose sum is σ = 136039176. Its totient is φ = 22144000.

The previous prime is 55363993. The next prime is 55364051. The reversal of 55364000 is 46355.

55364000 = T₃₄₅ + T₃₄₆ + ... + T₇₁₉.

It can be written as a sum of positive squares in 4 ways, for example, as 11751184 + 43612816 = 3428^2 + 6604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2921 + ... + 10920.

Almost surely, 2^55364000 is an apocalyptic number.

55364000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55364000 is an abundant number, since it is smaller than the sum of its proper divisors (80675176).

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

55364000 is a wasteful number, since it uses less digits than its factorization.

55364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 55364000 is about 7440.6988919052. The cubic root of 55364000 is about 381.1323564280.

The spelling of 55364000 in words is "fifty-five million, three hundred sixty-four thousand".