553936320 has 560 divisors, whose sum is σ = 2336767488. Its totient is φ = 121927680.

The previous prime is 553936307. The next prime is 553936321. The reversal of 553936320 is 23639355.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553936321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7801885 + ... + 7801955.

Almost surely, 2^553936320 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 553936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168383744).

553936320 is an abundant number, since it is smaller than the sum of its proper divisors (1782831168).

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

553936320 is a wasteful number, since it uses less digits than its factorization.

553936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The square root of 553936320 is about 23535.8518010290. The cubic root of 553936320 is about 821.2712385825.

The spelling of 553936320 in words is "five hundred fifty-three million, nine hundred thirty-six thousand, three hundred twenty".