55826400 has 144 divisors (see below), whose sum is σ = 207736704. Its totient is φ = 12756480.

The previous prime is 55826399. The next prime is 55826411. The reversal of 55826400 is 462855.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15139 + ... + 18461.

It is an arithmetic number, because the mean of its divisors is an integer number (1442616).

Almost surely, 2^55826400 is an apocalyptic number.

55826400 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 55826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103868352).

55826400 is an abundant number, since it is smaller than the sum of its proper divisors (151910304).

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

55826400 is a wasteful number, since it uses less digits than its factorization.

55826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 55826400 is about 7471.7066323565. The cubic root of 55826400 is about 382.1904882213.

The spelling of 55826400 in words is "fifty-five million, eight hundred twenty-six thousand, four hundred".