1000642410 has 96 divisors (see below), whose sum is σ = 2840160960. Its totient is φ = 252782208.

The previous prime is 1000642403. The next prime is 1000642427. The reversal of 1000642410 is 142460001.

1000642410 is a `hidden beast` number, since 10 + 0 + 0 + 642 + 4 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35334 + ... + 57006.

It is an arithmetic number, because the mean of its divisors is an integer number (29585010).

Almost surely, 2^1000642410 is an apocalyptic number.

1000642410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000642410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420080480).

1000642410 is an abundant number, since it is smaller than the sum of its proper divisors (1839518550).

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

1000642410 is a wasteful number, since it uses less digits than its factorization.

1000642410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21714 (or 21702 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1000642410 is about 31632.9323648630. The cubic root of 1000642410 is about 1000.2140908285.

The spelling of 1000642410 in words is "one billion, six hundred forty-two thousand, four hundred ten".