1560460032 has 144 divisors (see below), whose sum is σ = 4691470560. Its totient is φ = 511488000.

The previous prime is 1560460007. The next prime is 1560460127. The reversal of 1560460032 is 2300640651.

1560460032 is a `hidden beast` number, since 1 + 56 + 0 + 4 + 600 + 3 + 2 = 666.

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

It is a super-2 number, since 2×1560460032² = 4870071022938882048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1560459978 and 1560460005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419782 + ... + 423482.

Almost surely, 2^1560460032 is an apocalyptic number.

1560460032 is a gapful number since it is divisible by the number (12) 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 1560460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345735280).

1560460032 is an abundant number, since it is smaller than the sum of its proper divisors (3131010528).

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

1560460032 is an equidigital number, since it uses as much as digits as its factorization.

1560460032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1560460032 is about 39502.6585434449. The cubic root of 1560460032 is about 1159.8919915290.

The spelling of 1560460032 in words is "one billion, five hundred sixty million, four hundred sixty thousand, thirty-two".