1008285642 has 144 divisors (see below), whose sum is σ = 2796498432. Its totient is φ = 260124480.

The previous prime is 1008285637. The next prime is 1008285679. The reversal of 1008285642 is 2465828001.

1008285642 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 8 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1008285597 and 1008285606.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537967 + ... + 539837.

It is an arithmetic number, because the mean of its divisors is an integer number (19420128).

Almost surely, 2^1008285642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008285642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398249216).

1008285642 is an abundant number, since it is smaller than the sum of its proper divisors (1788212790).

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

1008285642 is a wasteful number, since it uses less digits than its factorization.

1008285642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1008285642 is about 31753.5138528006. The cubic root of 1008285642 is about 1002.7542876017.

The spelling of 1008285642 in words is "one billion, eight million, two hundred eighty-five thousand, six hundred forty-two".