1006542360 has 96 divisors (see below), whose sum is σ = 3326778000. Its totient is φ = 263856384.

The previous prime is 1006542359. The next prime is 1006542403. The reversal of 1006542360 is 632456001.

1006542360 is a `hidden beast` number, since 1 + 0 + 0 + 654 + 2 + 3 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455 + ... + 44934.

Almost surely, 2^1006542360 is an apocalyptic number.

1006542360 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 1006542360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663389000).

1006542360 is an abundant number, since it is smaller than the sum of its proper divisors (2320235640).

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

1006542360 is a wasteful number, since it uses less digits than its factorization.

1006542360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47465 (or 47458 counting only the distinct ones).

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

The square root of 1006542360 is about 31726.0517556156. The cubic root of 1006542360 is about 1002.1760480469.

Adding to 1006542360 its reverse (632456001), we get a palindrome (1638998361).

It can be divided in two parts, 10065 and 42360, that added together give a palindrome (52425).

The spelling of 1006542360 in words is "one billion, six million, five hundred forty-two thousand, three hundred sixty".