553673120 has 192 divisors, whose sum is σ = 1756774656. Its totient is φ = 159252480.

The previous prime is 553673093. The next prime is 553673161. The reversal of 553673120 is 21376355.

It is a super-3 number, since 3×553673120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 158432 + ... + 161888.

It is an arithmetic number, because the mean of its divisors is an integer number (9149868).

Almost surely, 2^553673120 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 553673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

553673120 is an abundant number, since it is smaller than the sum of its proper divisors (1203101536).

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

553673120 is a wasteful number, since it uses less digits than its factorization.

553673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 553673120 is about 23530.2596670755. The cubic root of 553673120 is about 821.1411437041.

The spelling of 553673120 in words is "five hundred fifty-three million, six hundred seventy-three thousand, one hundred twenty".