55837440 has 216 divisors, whose sum is σ = 199927728. Its totient is φ = 14376960.

The previous prime is 55837427. The next prime is 55837451. The reversal of 55837440 is 4473855.

55837440 is a `hidden beast` number, since 5 + 583 + 74 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55837395 and 55837404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426175 + ... + 426305.

Almost surely, 2^55837440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99963864).

55837440 is an abundant number, since it is smaller than the sum of its proper divisors (144090288).

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

55837440 is a wasteful number, since it uses less digits than its factorization.

55837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 55837440 is about 7472.4453828717. The cubic root of 55837440 is about 382.2156800355.

The spelling of 55837440 in words is "fifty-five million, eight hundred thirty-seven thousand, four hundred forty".