1009897240 has 256 divisors, whose sum is σ = 2792361600. Its totient is φ = 324403200.

The previous prime is 1009897237. The next prime is 1009897243. The reversal of 1009897240 is 427989001.

1009897240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1009897237) and next prime (1009897243).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1009897193 and 1009897202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009897243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11347116 + ... + 11347204.

Almost surely, 2^1009897240 is an apocalyptic number.

1009897240 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 1009897240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396180800).

1009897240 is an abundant number, since it is smaller than the sum of its proper divisors (1782464360).

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

1009897240 is a wasteful number, since it uses less digits than its factorization.

1009897240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1009897240 is about 31778.8804082208. The cubic root of 1009897240 is about 1003.2882555241.

The spelling of 1009897240 in words is "one billion, nine million, eight hundred ninety-seven thousand, two hundred forty".