1006611540 has 96 divisors (see below), whose sum is σ = 3173990400. Its totient is φ = 236150400.

The previous prime is 1006611533. The next prime is 1006611559. The reversal of 1006611540 is 451166001.

1006611540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1006611540² = 2026533584922343200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006611540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4140 + ... + 45059.

It is an arithmetic number, because the mean of its divisors is an integer number (33062400).

Almost surely, 2^1006611540 is an apocalyptic number.

1006611540 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 1006611540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586995200).

1006611540 is an abundant number, since it is smaller than the sum of its proper divisors (2167378860).

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

1006611540 is a wasteful number, since it uses less digits than its factorization.

1006611540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49253 (or 49251 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1006611540 is about 31727.1420080662. The cubic root of 1006611540 is about 1002.1990074882.

Adding to 1006611540 its reverse (451166001), we get a palindrome (1457777541).

It can be divided in two parts, 100661 and 1540, that added together give a palindrome (102201).

The spelling of 1006611540 in words is "one billion, six million, six hundred eleven thousand, five hundred forty".