555656640 has 224 divisors, whose sum is σ = 2199826944. Its totient is φ = 115445760.

The previous prime is 555656599. The next prime is 555656657. The reversal of 555656640 is 46656555.

555656640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×555656640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 555656592 and 555656601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70162 + ... + 77678.

It is an arithmetic number, because the mean of its divisors is an integer number (9820656).

Almost surely, 2^555656640 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 555656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099913472).

555656640 is an abundant number, since it is smaller than the sum of its proper divisors (1644170304).

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

555656640 is a wasteful number, since it uses less digits than its factorization.

555656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The square root of 555656640 is about 23572.3702669036. The cubic root of 555656640 is about 822.1205475553.

The spelling of 555656640 in words is "five hundred fifty-five million, six hundred fifty-six thousand, six hundred forty".