1562456160 has 144 divisors (see below), whose sum is σ = 5347689984. Its totient is φ = 415420416.

The previous prime is 1562456153. The next prime is 1562456173. The reversal of 1562456160 is 616542651.

1562456160 is a `hidden beast` number, since 15 + 6 + 24 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 550104 + ... + 552936.

It is an arithmetic number, because the mean of its divisors is an integer number (37136736).

Almost surely, 2^1562456160 is an apocalyptic number.

1562456160 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 1562456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673844992).

1562456160 is an abundant number, since it is smaller than the sum of its proper divisors (3785233824).

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

1562456160 is a wasteful number, since it uses less digits than its factorization.

1562456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1562456160 is about 39527.9162112045. The cubic root of 1562456160 is about 1160.3863556481.

The spelling of 1562456160 in words is "one billion, five hundred sixty-two million, four hundred fifty-six thousand, one hundred sixty".