1008049536 has 256 divisors, whose sum is σ = 3255268800. Its totient is φ = 309049344.

The previous prime is 1008049531. The next prime is 1008049597. The reversal of 1008049536 is 6359408001.

1008049536 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 49 + 536 = 666.

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 1008049536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008049531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3639030 + ... + 3639306.

Almost surely, 2^1008049536 is an apocalyptic number.

1008049536 is a gapful number since it is divisible by the number (16) 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 1008049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627634400).

1008049536 is an abundant number, since it is smaller than the sum of its proper divisors (2247219264).

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

1008049536 is an frugal number, since it uses more digits than its factorization.

1008049536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1008049536 is about 31749.7958418633. The cubic root of 1008049536 is about 1002.6760112428.

The spelling of 1008049536 in words is "one billion, eight million, forty-nine thousand, five hundred thirty-six".