1008771264 has 168 divisors, whose sum is σ = 3020537520. Its totient is φ = 321484800.

The previous prime is 1008771241. The next prime is 1008771299. The reversal of 1008771264 is 4621778001.

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

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, 2187994 + ... + 2188454.

It is an arithmetic number, because the mean of its divisors is an integer number (17979390).

Almost surely, 2^1008771264 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 1008771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510268760).

1008771264 is an abundant number, since it is smaller than the sum of its proper divisors (2011766256).

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

1008771264 is a wasteful number, since it uses less digits than its factorization.

1008771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1008771264 is about 31761.1596765609. The cubic root of 1008771264 is about 1002.9152477387.

The spelling of 1008771264 in words is "one billion, eight million, seven hundred seventy-one thousand, two hundred sixty-four".