55829760 has 288 divisors, whose sum is σ = 213491712. Its totient is φ = 12165120.

The previous prime is 55829747. The next prime is 55829773. The reversal of 55829760 is 6792855.

It is an interprime number because it is at equal distance from previous prime (55829747) and next prime (55829773).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 833247 + ... + 833313.

Almost surely, 2^55829760 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 55829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106745856).

55829760 is an abundant number, since it is smaller than the sum of its proper divisors (157661952).

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

55829760 is a wasteful number, since it uses less digits than its factorization.

55829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 55829760 is about 7471.9314772019. The cubic root of 55829760 is about 382.1981556467.

The spelling of 55829760 in words is "fifty-five million, eight hundred twenty-nine thousand, seven hundred sixty".