1008994560 has 144 divisors (see below), whose sum is σ = 3682928256. Its totient is φ = 230621184.

The previous prime is 1008994537. The next prime is 1008994583. The reversal of 1008994560 is 654998001.

It is an interprime number because it is at equal distance from previous prime (1008994537) and next prime (1008994583).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8112 + ... + 45648.

Almost surely, 2^1008994560 is an apocalyptic number.

1008994560 is a gapful number since it is divisible by the number (10) 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 1008994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841464128).

1008994560 is an abundant number, since it is smaller than the sum of its proper divisors (2673933696).

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

1008994560 is an equidigital number, since it uses as much as digits as its factorization.

1008994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37568 (or 37554 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1008994560 is about 31764.6747189390. The cubic root of 1008994560 is about 1002.9892421942.

The spelling of 1008994560 in words is "one billion, eight million, nine hundred ninety-four thousand, five hundred sixty".