1009895640 has 128 divisors (see below), whose sum is σ = 3278499840. Its totient is φ = 247389696.

The previous prime is 1009895633. The next prime is 1009895647. The reversal of 1009895640 is 465989001.

It is an interprime number because it is at equal distance from previous prime (1009895633) and next prime (1009895647).

It is a junction number, because it is equal to n+sod(n) for n = 1009895592 and 1009895601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009895647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346429 + ... + 349331.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 2^1009895640 is an apocalyptic number.

1009895640 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 1009895640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639249920).

1009895640 is an abundant number, since it is smaller than the sum of its proper divisors (2268604200).

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

1009895640 is a wasteful number, since it uses less digits than its factorization.

1009895640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3149 counting only the distinct ones).

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

The square root of 1009895640 is about 31778.8552342591. The cubic root of 1009895640 is about 1003.2877256807.

The spelling of 1009895640 in words is "one billion, nine million, eight hundred ninety-five thousand, six hundred forty".