1006359240 has 32 divisors (see below), whose sum is σ = 3019078080. Its totient is φ = 268362432.

The previous prime is 1006359209. The next prime is 1006359241. The reversal of 1006359240 is 429536001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1006359198 and 1006359207.

It is not an unprimeable number, because it can be changed into a prime (1006359241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4193044 + ... + 4193283.

It is an arithmetic number, because the mean of its divisors is an integer number (94346190).

Almost surely, 2^1006359240 is an apocalyptic number.

1006359240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006359240 is an abundant number, since it is smaller than the sum of its proper divisors (2012718840).

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

1006359240 is a wasteful number, since it uses less digits than its factorization.

1006359240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386341 (or 8386337 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1006359240 is about 31723.1656680099. The cubic root of 1006359240 is about 1002.1152691483.

The spelling of 1006359240 in words is "one billion, six million, three hundred fifty-nine thousand, two hundred forty".