55319040 has 300 divisors, whose sum is σ = 223502994. Its totient is φ = 12644352.

The previous prime is 55319023. The next prime is 55319057. The reversal of 55319040 is 4091355.

55319040 is a `hidden beast` number, since 5 + 531 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (55319023) and next prime (55319057).

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 5531904 = 7056^2 + 2352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55318995 and 55319013.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7902717 + ... + 7902723.

Almost surely, 2^55319040 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 55319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111751497).

55319040 is an abundant number, since it is smaller than the sum of its proper divisors (168183954).

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

55319040 is an frugal number, since it uses more digits than its factorization.

55319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55319040 is about 7437.6770567160. The cubic root of 55319040 is about 381.0291584934.

The spelling of 55319040 in words is "fifty-five million, three hundred nineteen thousand, forty".