553670640 has 240 divisors, whose sum is σ = 2031120000. Its totient is φ = 139781376.

The previous prime is 553670599. The next prime is 553670653. The reversal of 553670640 is 46076355.

553670640 is a `hidden beast` number, since 5 + 5 + 3 + 6 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 553670595 and 553670604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368611 + ... + 370109.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2^553670640 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 553670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560000).

553670640 is an abundant number, since it is smaller than the sum of its proper divisors (1477449360).

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

553670640 is a wasteful number, since it uses less digits than its factorization.

553670640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 553670640 is about 23530.2069689155. The cubic root of 553670640 is about 821.1399176901.

It can be divided in two parts, 5536 and 70640, that added together give a square (76176 = 276²).

The spelling of 553670640 in words is "five hundred fifty-three million, six hundred seventy thousand, six hundred forty".