1556436960 has 576 divisors, whose sum is σ = 6142106880. Its totient is φ = 356106240.

The previous prime is 1556436953. The next prime is 1556436977. The reversal of 1556436960 is 696346551.

1556436960 is a `hidden beast` number, since 1 + 556 + 4 + 3 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25515330 + ... + 25515390.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^1556436960 is an apocalyptic number.

1556436960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1556436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

1556436960 is an abundant number, since it is smaller than the sum of its proper divisors (4585669920).

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

1556436960 is a wasteful number, since it uses less digits than its factorization.

1556436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 1556436960 is about 39451.7041457020. The cubic root of 1556436960 is about 1158.8943487849.

It can be divided in two parts, 1556 and 436960, that added together give a triangular number (438516 = T₉₃₆).

The spelling of 1556436960 in words is "one billion, five hundred fifty-six million, four hundred thirty-six thousand, nine hundred sixty".