1162546560 has 384 divisors, whose sum is σ = 4793061600. Its totient is φ = 265531392.

The previous prime is 1162546543. The next prime is 1162546579. The reversal of 1162546560 is 656452611.

1162546560 is a `hidden beast` number, since 1 + 1 + 62 + 546 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 846034 + ... + 847406.

Almost surely, 2^1162546560 is an apocalyptic number.

1162546560 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 1162546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396530800).

1162546560 is an abundant number, since it is smaller than the sum of its proper divisors (3630515040).

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

1162546560 is a wasteful number, since it uses less digits than its factorization.

1162546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1390 counting only the distinct ones).

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

The square root of 1162546560 is about 34096.1370245956. The cubic root of 1162546560 is about 1051.4858962579.

It can be divided in two parts, 11625 and 46560, that added together give a palindrome (58185).

The spelling of 1162546560 in words is "one billion, one hundred sixty-two million, five hundred forty-six thousand, five hundred sixty".