1009945860 has 432 divisors, whose sum is σ = 3851390592. Its totient is φ = 196331520.

The previous prime is 1009945841. The next prime is 1009945883. The reversal of 1009945860 is 685499001.

It is a super-2 number, since 2×1009945860² = 2039981280262279200, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 6047497 + ... + 6047663.

It is an arithmetic number, because the mean of its divisors is an integer number (8915256).

Almost surely, 2^1009945860 is an apocalyptic number.

1009945860 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 1009945860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925695296).

1009945860 is an abundant number, since it is smaller than the sum of its proper divisors (2841444732).

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

1009945860 is a wasteful number, since it uses less digits than its factorization.

1009945860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

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

The square root of 1009945860 is about 31779.6453724707. The cubic root of 1009945860 is about 1003.3043558724.

The spelling of 1009945860 in words is "one billion, nine million, nine hundred forty-five thousand, eight hundred sixty".