55935000 has 240 divisors, whose sum is σ = 208339560. Its totient is φ = 13440000.

The previous prime is 55934971. The next prime is 55935023. The reversal of 55935000 is 53955.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 494944 + ... + 495056.

Almost surely, 2^55935000 is an apocalyptic number.

55935000 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 55935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104169780).

55935000 is an abundant number, since it is smaller than the sum of its proper divisors (152404560).

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

55935000 is a wasteful number, since it uses less digits than its factorization.

55935000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 55935000 is about 7478.9705173907. The cubic root of 55935000 is about 382.4381548094.

Adding to 55935000 its reverse (53955), we get a palindrome (55988955).

The spelling of 55935000 in words is "fifty-five million, nine hundred thirty-five thousand".