1009650096 has 300 divisors, whose sum is σ = 3663796752. Its totient is φ = 266063616.

The previous prime is 1009650073. The next prime is 1009650107. The reversal of 1009650096 is 6900569001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1009650096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 824941 + ... + 826163.

Almost surely, 2^1009650096 is an apocalyptic number.

1009650096 is a gapful number since it is divisible by the number (16) 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 1009650096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831898376).

1009650096 is an abundant number, since it is smaller than the sum of its proper divisors (2654146656).

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

1009650096 is a wasteful number, since it uses less digits than its factorization.

1009650096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1009650096 is about 31774.9916758447. The cubic root of 1009650096 is about 1003.2064066348.

The spelling of 1009650096 in words is "one billion, nine million, six hundred fifty thousand, ninety-six".