55824640 has 36 divisors (see below), whose sum is σ = 133720524. Its totient is φ = 22329344.

The previous prime is 55824631. The next prime is 55824649. The reversal of 55824640 is 4642855.

It is an interprime number because it is at equal distance from previous prime (55824631) and next prime (55824649).

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 24285184 = 5616^2 + 4928^2 .

It is a super-2 number, since 2×55824640² = 6232780862259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55824596 and 55824605.

It is not an unprimeable number, because it can be changed into a prime (55824649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20527 + ... + 23086.

It is an arithmetic number, because the mean of its divisors is an integer number (3714459).

Almost surely, 2^55824640 is an apocalyptic number.

It is an amenable number.

55824640 is an abundant number, since it is smaller than the sum of its proper divisors (77895884).

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

55824640 is an equidigital number, since it uses as much as digits as its factorization.

55824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43634 (or 43620 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 55824640 is about 7471.5888537847. The cubic root of 55824640 is about 382.1864718280.

The spelling of 55824640 in words is "fifty-five million, eight hundred twenty-four thousand, six hundred forty".