1008622368 has 240 divisors, whose sum is σ = 3284903160. Its totient is φ = 301584384.

The previous prime is 1008622343. The next prime is 1008622387. The reversal of 1008622368 is 8632268001.

It can be written as a sum of positive squares in 4 ways, for example, as 987719184 + 20903184 = 31428^2 + 4572^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1246348 + ... + 1247156.

Almost surely, 2^1008622368 is an apocalyptic number.

1008622368 is a gapful number since it is divisible by the number (18) 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 1008622368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642451580).

1008622368 is an abundant number, since it is smaller than the sum of its proper divisors (2276280792).

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

1008622368 is a wasteful number, since it uses less digits than its factorization.

1008622368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1008622368 is about 31758.8155950438. The cubic root of 1008622368 is about 1002.8659014294.

The spelling of 1008622368 in words is "one billion, eight million, six hundred twenty-two thousand, three hundred sixty-eight".