556557540 has 192 divisors, whose sum is σ = 1956648960. Its totient is φ = 114831360.

The previous prime is 556557527. The next prime is 556557553. The reversal of 556557540 is 45755655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (556557527) and next prime (556557553).

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 = 556557492 and 556557501.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826644 + ... + 827316.

It is an arithmetic number, because the mean of its divisors is an integer number (10190880).

Almost surely, 2^556557540 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 556557540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978324480).

556557540 is an abundant number, since it is smaller than the sum of its proper divisors (1400091420).

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

556557540 is a wasteful number, since it uses less digits than its factorization.

556557540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 525000, while the sum is 42.

The square root of 556557540 is about 23591.4717641778. The cubic root of 556557540 is about 822.5646158467.

It can be divided in two parts, 556 and 557540, that added together give a triangular number (558096 = T₁₀₅₆).

The spelling of 556557540 in words is "five hundred fifty-six million, five hundred fifty-seven thousand, five hundred forty".