1009365840 has 320 divisors, whose sum is σ = 4004267520. Its totient is φ = 228925440.

The previous prime is 1009365827. The next prime is 1009365853. The reversal of 1009365840 is 485639001.

It is an interprime number because it is at equal distance from previous prime (1009365827) and next prime (1009365853).

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

It is a junction number, because it is equal to n+sod(n) for n = 1009365795 and 1009365804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3643782 + ... + 3644058.

It is an arithmetic number, because the mean of its divisors is an integer number (12513336).

Almost surely, 2^1009365840 is an apocalyptic number.

1009365840 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 1009365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002133760).

1009365840 is an abundant number, since it is smaller than the sum of its proper divisors (2994901680).

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

1009365840 is a wasteful number, since it uses less digits than its factorization.

1009365840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1009365840 is about 31770.5184093681. The cubic root of 1009365840 is about 1003.1122505149.

The spelling of 1009365840 in words is "one billion, nine million, three hundred sixty-five thousand, eight hundred forty".