1008365248 has 56 divisors (see below), whose sum is σ = 2197760400. Its totient is φ = 455224320.

The previous prime is 1008365233. The next prime is 1008365261. The reversal of 1008365248 is 8425638001.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100090 + ... + 109702.

Almost surely, 2^1008365248 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 1008365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098880200).

1008365248 is an abundant number, since it is smaller than the sum of its proper divisors (1189395152).

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

1008365248 is a wasteful number, since it uses less digits than its factorization.

1008365248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9785 (or 9775 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 1008365248 is about 31754.7673271274. The cubic root of 1008365248 is about 1002.7806766704.

The spelling of 1008365248 in words is "one billion, eight million, three hundred sixty-five thousand, two hundred forty-eight".