1008549864 has 192 divisors, whose sum is σ = 3224707200. Its totient is φ = 278788608.

The previous prime is 1008549863. The next prime is 1008549881. The reversal of 1008549864 is 4689458001.

It is not an unprimeable number, because it can be changed into a prime (1008549863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3749122 + ... + 3749390.

It is an arithmetic number, because the mean of its divisors is an integer number (16795350).

Almost surely, 2^1008549864 is an apocalyptic number.

1008549864 is a gapful number since it is divisible by the number (14) 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 1008549864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612353600).

1008549864 is an abundant number, since it is smaller than the sum of its proper divisors (2216157336).

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

1008549864 is a wasteful number, since it uses less digits than its factorization.

1008549864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1008549864 is about 31757.6740961929. The cubic root of 1008549864 is about 1002.8418707866.

The spelling of 1008549864 in words is "one billion, eight million, five hundred forty-nine thousand, eight hundred sixty-four".