1006142536 has 64 divisors (see below), whose sum is σ = 2212116480. Its totient is φ = 420072000.

The previous prime is 1006142503. The next prime is 1006142539. The reversal of 1006142536 is 6352416001.

It is a super-2 number, since 2×1006142536² = 2024645605497022592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1006142539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659871 + ... + 661393.

It is an arithmetic number, because the mean of its divisors is an integer number (34564320).

Almost surely, 2^1006142536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006142536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106058240).

1006142536 is an abundant number, since it is smaller than the sum of its proper divisors (1205973944).

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

1006142536 is a wasteful number, since it uses less digits than its factorization.

1006142536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1006142536 is about 31719.7499359626. The cubic root of 1006142536 is about 1002.0433339426.

Adding to 1006142536 its reverse (6352416001), we get a palindrome (7358558537).

The spelling of 1006142536 in words is "one billion, six million, one hundred forty-two thousand, five hundred thirty-six".