1006526040 has 128 divisors (see below), whose sum is σ = 3261988800. Its totient is φ = 246988800.

The previous prime is 1006525981. The next prime is 1006526051. The reversal of 1006526040 is 406256001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1006526040.

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, 624756 + ... + 626364.

Almost surely, 2^1006526040 is an apocalyptic number.

1006526040 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 1006526040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630994400).

1006526040 is an abundant number, since it is smaller than the sum of its proper divisors (2255462760).

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

1006526040 is a wasteful number, since it uses less digits than its factorization.

1006526040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1006526040 is about 31725.7945526980. The cubic root of 1006526040 is about 1002.1706316160.

The spelling of 1006526040 in words is "one billion, six million, five hundred twenty-six thousand, forty".