553679840 has 192 divisors, whose sum is σ = 1588543488. Its totient is φ = 178329600.

The previous prime is 553679839. The next prime is 553679843. The reversal of 553679840 is 48976355.

It is a super-2 number, since 2×553679840² = 613122730444851200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553679843) 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 31 ways as a sum of consecutive naturals, for example, 1284425 + ... + 1284855.

It is an arithmetic number, because the mean of its divisors is an integer number (8273664).

Almost surely, 2^553679840 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 553679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794271744).

553679840 is an abundant number, since it is smaller than the sum of its proper divisors (1034863648).

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

553679840 is a wasteful number, since it uses less digits than its factorization.

553679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

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

The square root of 553679840 is about 23530.4024614965. The cubic root of 553679840 is about 821.1444657883.

The spelling of 553679840 in words is "five hundred fifty-three million, six hundred seventy-nine thousand, eight hundred forty".