553192320 has 128 divisors (see below), whose sum is σ = 1840112640. Its totient is φ = 141092864.

The previous prime is 553192307. The next prime is 553192327. The reversal of 553192320 is 23291355.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553192327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37897 + ... + 50423.

It is an arithmetic number, because the mean of its divisors is an integer number (14375880).

Almost surely, 2^553192320 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 553192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920056320).

553192320 is an abundant number, since it is smaller than the sum of its proper divisors (1286920320).

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

553192320 is a wasteful number, since it uses less digits than its factorization.

553192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12572 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 553192320 is about 23520.0408162911. The cubic root of 553192320 is about 820.9033866936.

The spelling of 553192320 in words is "five hundred fifty-three million, one hundred ninety-two thousand, three hundred twenty".