55819840 has 112 divisors (see below), whose sum is σ = 145718784. Its totient is φ = 20275200.

The previous prime is 55819837. The next prime is 55819843. The reversal of 55819840 is 4891855.

55819840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55819837) and next prime (55819843).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 55819793 and 55819802.

It is not an unprimeable number, because it can be changed into a prime (55819843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168475 + ... + 168805.

Almost surely, 2^55819840 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 55819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72859392).

55819840 is an abundant number, since it is smaller than the sum of its proper divisors (89898944).

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

55819840 is a wasteful number, since it uses less digits than its factorization.

55819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 55819840 is about 7471.2676300612. The cubic root of 55819840 is about 382.1755175992.

The spelling of 55819840 in words is "fifty-five million, eight hundred nineteen thousand, eight hundred forty".