553947680 has 288 divisors, whose sum is σ = 1621638144. Its totient is φ = 177408000.

The previous prime is 553947671. The next prime is 553947689. The reversal of 553947680 is 86749355.

It is an interprime number because it is at equal distance from previous prime (553947671) and next prime (553947689).

It is not an unprimeable number, because it can be changed into a prime (553947689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7802045 + ... + 7802115.

It is an arithmetic number, because the mean of its divisors is an integer number (5630688).

Almost surely, 2^553947680 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 553947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810819072).

553947680 is an abundant number, since it is smaller than the sum of its proper divisors (1067690464).

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

553947680 is a wasteful number, since it uses less digits than its factorization.

553947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The square root of 553947680 is about 23536.0931337382. The cubic root of 553947680 is about 821.2768526920.

The spelling of 553947680 in words is "five hundred fifty-three million, nine hundred forty-seven thousand, six hundred eighty".