55606824 has 320 divisors, whose sum is σ = 204906240. Its totient is φ = 13685760.

The previous prime is 55606753. The next prime is 55606829. The reversal of 55606824 is 42860655.

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

It is not an unprimeable number, because it can be changed into a prime (55606829) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1356244 + ... + 1356284.

It is an arithmetic number, because the mean of its divisors is an integer number (640332).

Almost surely, 2^55606824 is an apocalyptic number.

55606824 is a gapful number since it is divisible by the number (54) 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 55606824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

55606824 is an abundant number, since it is smaller than the sum of its proper divisors (149299416).

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

55606824 is a wasteful number, since it uses less digits than its factorization.

55606824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 55606824 is about 7456.9983237225. The cubic root of 55606824 is about 381.6887535341.

The spelling of 55606824 in words is "fifty-five million, six hundred six thousand, eight hundred twenty-four".