1008642456 has 96 divisors (see below), whose sum is σ = 2847499200. Its totient is φ = 334484640.

The previous prime is 1008642431. The next prime is 1008642497. The reversal of 1008642456 is 6542468001.

1008642456 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 642 + 4 + 5 + 6 = 666.

1008642456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1008642456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408955 + ... + 411413.

It is an arithmetic number, because the mean of its divisors is an integer number (29661450).

Almost surely, 2^1008642456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008642456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423749600).

1008642456 is an abundant number, since it is smaller than the sum of its proper divisors (1838856744).

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

1008642456 is a wasteful number, since it uses less digits than its factorization.

1008642456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1008642456 is about 31759.1318521146. The cubic root of 1008642456 is about 1002.8725591694.

The spelling of 1008642456 in words is "one billion, eight million, six hundred forty-two thousand, four hundred fifty-six".